Solving these TS 6th Class Maths Bits with Answers 7th Lesson Fractions and Decimals Bits for 10th Class will help students to build their problem-solving skills.
TS 6th Class Maths Bits Chapter 7 Fractions and Decimals
Choose the correct answer and write it in the brackets.
Question 1.
4\(\frac{2}{10}\) cm = ______ cm.
A) 4.5
B) 4.1
C) 4.2
D) 4.8
Answer:
C) 4.2
Question 2.
How much is 325 paise?
A) Rs. 32.5
B) Rs. 3.25
C) Rs. 325
D) Rs. 0.325
Answer:
B) Rs. 3.25
Question 3.
\(\frac{278}{1000}\) =
A) 2.78
B) 27.8
C) 0.278
D) 0.0278
Answer:
C) 0.278
Question 4.
\(\frac{132}{100}\) =
A) 0.132
B) 0.0132
C) 1.32
D) 13.2
Answer:
C) 1.32
Question 5.
\(\frac{27}{4}\) =
A) 6\(\frac{1}{4}\)
B) 6 – \(\frac{1}{4}\)
C) 6 × \(\frac{1}{4}\)
D) 6 \(\frac{3}{4}\)
Answer:
D) 6 \(\frac{3}{4}\)
Question 6.
\(\frac{15}{6}\) =
A) 2 \(\frac{3}{6}\)
B) 2 \(\frac{5}{6}\)
C) 1 \(\frac{1}{6}\)
D) 1 \(\frac{5}{6}\)
Answer:
A) 2 \(\frac{3}{6}\)
Question 7.
1\(\frac{3}{7}\) =
A) \(\frac{16}{7}\)
B) \(\frac{10}{7}\)
C) \(\frac{15}{7}\)
D) \(\frac{11}{7}\)
Answer:
B) \(\frac{10}{7}\)
Question 8.
\(\frac{1}{3}+\frac{5}{6}\) =
A) \(\frac{4}{6}\)
B) \(\frac{6}{9}\)
C) \(\frac{5}{9}\)
D) \(\frac{7}{6}\)
Answer:
D) \(\frac{7}{6}\)
Question 9.
\(2 \frac{1}{3}+1 \frac{2}{3}=\frac{1}{3}+\frac{2}{3}+\ldots .\) =
A) 1
B) 2
C) 3
D) 0
Answer:
C) 3
Question 10.
\(\frac{12}{15}-\frac{3}{15}\) =
A) \(\frac{9}{15}\)
B) 9
C) \(\frac{15}{30}\)
D) \(\frac{36}{15}\)
Answer:
A) \(\frac{9}{15}\)
Question 11.
\(\frac{3}{7}\) of 140 is
A) 20
B) 60
C) 140 × \(\frac{7}{3}\)
D) \(\frac{3}{7} \times \frac{1}{140}\)
Answer:
B) 60
Question 12.
If \(\frac{1}{3}\) of a number 14, then the number is:
A) 14 × \(\frac{1}{3}\)
B) 14 × \(\frac{3}{1}\)
C) \(\frac{14 \times 2}{3}\)
D) \(\frac{14 \times 3}{2}\)
Answer:
B) 14 × \(\frac{3}{1}\)
Question 13.
Equivalent fraction to \(\frac{3}{4}\) is
A) \(\frac{6}{4}\)
B) \(\frac{3}{8}\)
C) \(\frac{6}{8}\)
D) \(\frac{7}{4}\)
Answer:
C) \(\frac{6}{8}\)
Question 14.
Equivalent fraction to \(\frac{5}{8}\) is
A) \(\frac{10}{8}\)
B) \(\frac{5}{16}\)
C) \(\frac{13}{8}\)
D) \(\frac{10}{16}\)
Answer:
D) \(\frac{10}{16}\)
Question 15.
\(\frac{1}{4}+\frac{1}{4}+\frac{1}{4}\) =
A) \(\frac{2}{4}\)
B) \(\frac{3}{4}\)
C) 1 \(\frac{1}{4}\)
D) \(\frac{1}{12}\)
Answer:
B) \(\frac{3}{4}\)
Question 16.
In the adjacent figure, the fraction representing the shaded portion is
A) \(\frac{1}{2}\)
B) \(\frac{1}{3}\)
C) \(\frac{1}{4}\)
D) \(\frac{3}{4}\)
Answer:
C) \(\frac{1}{4}\)
Question 17.
In the below figure, the fraction representing the shaded portion is
A) \(\frac{2}{6}\)
B) \(\frac{1}{6}\)
C) \(\frac{3}{6}\)
D) \(\frac{1}{5}\)
Answer:
A) \(\frac{2}{6}\)
Question 18.
\(\frac{1}{2}\) lies on the number line between
A) 1 and 2
B) 0 and 1
C) 0 and – 1
D) – 1 and – 2
Answer:
B) 0 and 1
Question 19.
Which of the following is a proper fraction?
A) 2 \(\frac{1}{2}\)
B) \(\frac{17}{21}\)
C) \(\frac{15}{7}\)
D) \(\frac{4}{3}\)
Answer:
B) \(\frac{17}{21}\)
Question 20.
Which of the following is not a proper fraction?
A) \(\frac{3}{2}\)
B) \(\frac{1}{7}\)
C) \(\frac{7}{11}\)
D) \(\frac{9}{11}\)
Answer:
A) \(\frac{3}{2}\)
Question 21.
the shaded portion represents the fraction ______
A) \(\frac{8}{7}\)
B) \(\frac{7}{8}\)
C) \(\frac{1}{8}\)
D) \(\frac{1}{7}\)
Answer:
C) \(\frac{1}{8}\)
Question 22.
Write as mixed fraction.
A) 24 \(\frac{1}{5}\)
B) 23 \(\frac{2}{5}\)
C) 22 \(\frac{3}{5}\)
D) 21 \(\frac{4}{5}\)
Answer:
A) 24 \(\frac{1}{5}\)
Question 23.
10 + \(\frac{4}{7}\) = ______
A) \(\frac{40}{7}\)
B) 2
C) \(\frac{14}{7}\)
D) 10 \(\frac{4}{7}\)
Answer:
D) 10 \(\frac{4}{7}\)
Question 24.
11 \(\frac{7}{9}\) = ______
A) \(\frac{92}{7}\)
B) \(\frac{106}{9}\)
C) \(\frac{116}{4}\)
D) \(\frac{105}{9}\)
Answer:
B) \(\frac{106}{9}\)
Question 25.
The lowest form of is ______
A) \(\frac{4}{3}\)
B) \(\frac{6}{5}\)
C) \(\frac{3}{2}\)
D) \(\frac{3}{4}\)
Answer:
C) \(\frac{3}{2}\)
Question 26.
Which of the following is not in the standard form?
A) \(\frac{1}{3}\)
B) \(\frac{17}{7}\)
C) \(\frac{3}{9}\)
D) \(\frac{4}{23}\)
Answer:
C) \(\frac{3}{9}\)
Question 27.
The standard form of \(\frac{28}{63}\) is ______.
A) \(\frac{4}{7}\)
B) \(\frac{4}{9}\)
C) \(\frac{9}{4}\)
D) \(\frac{7}{9}\)
Answer:
B) \(\frac{4}{9}\)
Question 28.
Which of the following pair of fractions are like fractions?
A) \(\left(\frac{1}{3}, \frac{9}{6}\right)\)
B) \(\left(\frac{2}{3}, \frac{10}{20}\right)\)
C) \(\left(\frac{2}{4}, \frac{6}{12}\right)\)
D) \(\left(\frac{4}{5}, \frac{9}{8}\right)\)
Answer:
C) \(\left(\frac{2}{4}, \frac{6}{12}\right)\)
Question 29.
Which of the following pair of fractions are not equivalent fractions?
A) \(\left(\frac{4}{6}, \frac{10}{15}\right)\)
B) \(\left(\frac{15}{12}, \frac{45}{36}\right)\)
C) \(\left(\frac{1}{2}, \frac{9}{18}\right)\)
D) \(\left(\frac{4}{7}, \frac{28}{21}\right)\)
Answer:
A) \(\left(\frac{4}{6}, \frac{10}{15}\right)\)
Question 30.
Which of the following is the biggest fraction?
A) \(\frac{11}{99}\)
B) \(\frac{400}{250}\)
C) \(\frac{37}{13}\)
D) \(\frac{4}{5}\)
Answer:
C) \(\frac{37}{13}\)
Question 31.
Which of the following is the smallest fraction?
A) \(\frac{2}{11}\)
B) \(\frac{7}{11}\)
C) \(\frac{3}{11}\)
D) \(\frac{9}{11}\)
Answer:
A) \(\frac{2}{11}\)
Question 32.
Which of the following are in ascending order?
A) \(\frac{11}{2}, \frac{11}{3}, \frac{11}{4}\)
B) \(\frac{1}{2}, \frac{3}{2}, \frac{2}{2}\)
C) \(\frac{5}{10}, \frac{9}{10}, \frac{7}{10}\)
D) \(\frac{13}{4}, \frac{13}{3}, \frac{13}{2}\)
Answer:
D) \(\frac{13}{4}, \frac{13}{3}, \frac{13}{2}\)
Question 33.
What is the descending order of \(\frac{1}{4}, \frac{1}{2}, \frac{1}{8}, \frac{3}{4}\) is ______
A) \(\frac{1}{8}, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}\)
B) \(\frac{3}{4}, \frac{1}{2}, \frac{1}{4}, \frac{1}{8}\)
C) \(\frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \frac{3}{4}\)
D) \(\frac{3}{4}, \frac{1}{8}, \frac{1}{4}, \frac{1}{2}\)
Answer:
B) \(\frac{3}{4}, \frac{1}{2}, \frac{1}{4}, \frac{1}{8}\)
Question 34.
Evaluate \(\frac{11}{17}+\frac{21}{17}+\frac{7}{17}\)
A) \(\frac{39}{17}\)
B) \(\frac{38}{17}\)
C) \(\frac{37}{17}\)
D) \(\frac{41}{17}\)
Answer:
A) \(\frac{39}{17}\)
Question 35.
Add: \(\frac{1}{3}+\frac{2}{6}+\frac{5}{6}\)
A) \(\frac{10}{6}\)
B) \(\frac{2}{3}\)
C) \(\frac{3}{2}\)
D) \(\frac{8}{6}\)
Answer:
C) \(\frac{3}{2}\)
Question 36.
\(2 \frac{1}{8}+3 \frac{1}{6}\) = ______?
A) 6 \(\frac{7}{24}\)
B) 4 \(\frac{7}{24}\)
C) 5 \(\frac{6}{24}\)
D) 5 \(\frac{7}{24}\)
Answer:
D) 5 \(\frac{7}{24}\)
Question 37.
Subtract from is ______
A) \(\frac{4}{45}\)
B) \(\frac{6}{90}\)
C) \(\frac{7}{90}\)
D) \(\frac{8}{90}\)
Answer:
C) \(\frac{7}{90}\)
Question 38.
SimplIfy: \(\frac{11}{9}-\frac{5}{4}\)
A) \(\frac{1}{36}\)
B) \(\frac{-1}{36}\)
C) \(\frac{-1}{3}\)
D) \(\frac{-1}{18}\)
Answer:
B) \(\frac{-1}{36}\)
Question 39.
Romy read of the page of a text book, then the remaining pages to be read are ______ ?
A) \(\frac{4}{7}\)
B) \(-\frac{4}{7}\)
C) \(-\frac{3}{7}\)
D) \(\frac{7}{4}\)
Answer:
A) \(\frac{4}{7}\)
Question 40.
2070 paisa = ______ rupees.
A) ₹ 2.070
B) ₹ 20.70
C) ₹ 207.0
D) ₹ 20
Answer:
B) ₹ 20.70
Question 41.
Write the decimal for the statement “Seven hundred fifty six and 16 hundreths” ?
A) 756.016
B) 756.16
C) 75.616
D) 7541.6
Answer:
B) 756.16
Question 42.
Decimal form of \(\frac{357}{100}\) is ______
A) 0.357
B) 35.7
C) 3.57
D) 0.0357
Answer:
B) 35.7
Question 43.
What is the decimal form of \(\frac{1024}{10000}\)?
A) 0.01024
B) 0.1024
C) 1.024
D) 10.24
Answer:
B) 0.1024
Question 44.
The place value of 5 in 8.765 is ______
A) tens
B) tenths
C) hundredths
D) thousandths
Answer:
D) thousandths
Question 45.
Ascending order of 0.875, 8.75, 0.0875, 87.5 is ______.
A) 87.5, 8.75, 0.875, 0.0875
B) 87.5, 0.0875, 8.75, 0.875
C) 0.0875, 8.75, 0.875, 87.5
D) 0.0875, 0.875, 875, 87.5
Answer:
D) 0.0875, 0.875, 875, 87.5
Question 46.
Add : 3.44 + 0.475 + 76.9
A) 80.825
B) 80.815
C) 79.815
D) 80.715
Answer:
B) 80.815
Question 47.
Subtract 2.89 from 4.5 is ______
A) 1.61
B) 1.62
C) 2.61
D) 1.51
Answer:
A) 1.61
Question 48.
There is a rainfall in a city in 3 consecutive days is 15 mm, 7cm, 110 cm. Then what is the total rainfall in that city in 3 days in (cms)
A) 108.5
B) 107.5
C) 132
D) 109.5
Answer:
A) 108.5
Question 49.
Sri Harsha bought 16.75 mts of cloth, he used 13.125 mts cloth to his own purpose, the remaining cloth is (in mts) ?
A) 3.525
B) 3.0625
C) 3.625
D) 4.625
Answer:
C) 3.625
Question 50.
Which of the following is not a true ?
a) 0.005 + 0.0008 = 0.0058 ( )
b) 0.9 – 0.0756 = 0.8244
c) 7 + \(\frac{5}{10}\) + \(\frac{9}{100}\) + \(\frac{4}{1000}\) = 7.0594
d) 0.576 = \(\frac{576}{1000}\)
A) a, b only
B) b, c only
C) a, b, d only
D) only c
Answer:
D) only c
Question 51.
Which of the following statement is true about convertion of mixed fraction to an improper fraction is ______
i) (Whole Number × Denominator + Numerator) / Denominator
ii) (Whole Number × Numerator + Denominator) / Denominator
iii) (Whole Number × Denominator – Numerator) / Denominator
iv) (Whole Number + Numerator) / Denominator
A) only (i)
B) only (ii)
C) b0th (iii) & (iv)
D) (ii) or (iv)
Answer:
A) only (i)
Question 52.
Which of the following statements is not true
X : Every improper fraction can be expressed as a mixed fraction.
Y : The denominators of the fractions are equal are like fractions.
Z : The Numerator and denominator have no common factor is called standard form.
W: The numerators of the fractions are multiplied by Natural numbers are called equivalent fractions.
A) only X & Y
B) only W
C) only Y & Z
D) X, Y, Z
Answer:
B) only W
Question 53.
Subtraction / Addition of the fractions.
| Group – A | Group – B |
| a) 0.7 + 4.025 + 735.1 | 1) 0.0071 |
| b) 14.09 – 0.568 | 2) 0.2379 |
| c) 0.23 + 0.007 + 10.0009 | 3) 739.825 |
| d) 0.008 – 0.0009 | 4) 0.0091 |
| 5) 13.522 |
A) a – 3, b – 5, c – 2, d – 1
B) a – 1, b – 2, c – 3, d – 4
C) a – 3, b – 5, c – 1, d – 2
D) a – 3, b – 4, c – 2, d – 1
Answer:
A) a – 3, b – 5, c – 2, d – 1
Question 54.
If \(\frac{7}{11}\) – x = \(\frac{3}{11}\) ⇒ x = ______?
A) \(\frac{4}{11}\)
B) \(\frac{5}{11}\)
C) \(\frac{4}{7}\)
D) None
Answer:
A) \(\frac{4}{11}\)
Question 55.
7 + \(\frac{7}{23}\) = \(\frac{24}{23}\) ⇒ z = ______?
A) \(\frac{8}{23}\)
B) \(\frac{16}{23}\)
C) \(\frac{31}{23}\)
D) \(\frac{17}{23}\)
Answer:
D) \(\frac{17}{23}\)
Question 56.
Use <, =, > for \(\frac{3}{5}\) ______ \(\frac{2}{3}\)?
A) <
B) >
C) =
D) None
A) <
Question 57.
\(\frac{9}{5}\) = ______?
A) \(\frac{27}{16}\)
B) \(\frac{36}{20}\)
C) \(\frac{36}{20}\)
D) \(\frac{45}{35}\)
Answer:
B) \(\frac{36}{20}\)
Question 58.
If 3.4x + 1.y8 = 5.02 then x + y = ______
A) 9
B) 5.4
C) 0.54
D) 54
Answer:
A) 9
Question 59.
\(\frac{3}{5}\) ______ \(\frac{2}{3}\)
A) <
B) >
C) =
D) ≅
Answer:
A) <
Question 60.
\(\frac{5}{6}\) ______ \(\frac{2}{3}\)
A) <
B) =
C) >
D) ×
Answer:
C) >
Question 61.
Statement (P): Some fractions can’t be represent on the number line.
Statement (Q): Equivalent fractions are obtained by multiplying both numerator and denominator by the same number.
A) P – true, Q – false
B) P – true, Q – true
C) P – false, Q – true
D) P – false, Q – true
Answer:
C) P – false, Q – true
Question 62.
“4 cm and 2 mm” – means.
Statement Rajesh : 4 – cm
Statement Ravi : 4.2 cm
Statement Chandrika : 4 and \(\frac{2}{100}\) part = 4.02 cms.
Now, which of these is true or false ?
A) Rajesh – true, Ravi – true, Chandrika- true
B) Rajesh – false, Ravi – false, Chandirka – true
C) Rajesh – true, Ravi – true, Chandrika – false
D) Rajesh – false, Rave – true, Chandrika – false
Answer:
C) Rajesh – true, Ravi – true, Chandrika – false
Question 63.
Assertion (A) : Both numerator and denominator are in lowest terms and do not have any common factor, then the fraction is in standard form.
Reason (R) : For a proper fraction numerator less than’the denominator.
A) ‘A’ is correct, ‘R’ is incorrect
B) ‘A’ is incorrect, R is correct
C) Both ‘A’ and ‘R’ are correct, But ‘R’ is not correct explanation of ‘A’
D) Both ‘A’ and ‘R’ are correct and ‘R’ is the correct explanation of ‘A’.
Answer:
C) Both ‘A’ and ‘R’ are correct, But ‘R’ is not correct explanation of ‘A’
Question 64.
In \(\frac{5}{12}\) is called ______
A) denominator
B) numerator
C) fraction
D) none
Answer:
B) numerator
Question 65.
If numerator is greater than the denominator then the fraction is called ______.
A) Improper fraction
B) Proper fraction
C) Mixed fraction
D) None
Answer:
A) Improper fraction
Question 66.
If Numerator is less than the denominator then the fraction is called ______
A) Improper fraction
B) Proper fraction
C) Mixed fraction
D) None
Answer:
B) Proper fraction
Question 67.
The fractional numbers that have the same denominators are called ______
A) Improper fraction
B) Proper fraction
C) Unlike fractions
D) Like fractions
Answer:
D) Like fractions
Question 68.
In the fraction \(\frac{5}{8}\), ‘8’ stands for ______
A) Part
B) Group
C) Numerator
D) Denominator
Answer:
D) Denominator
Question 69.
In the fraction \(\frac{3}{7}\), ‘3’ stands for ______
A) denominator
B) numerator
C) group
D) part
Answer:
B) numerator
Question 70.
Which of the following is a proper fraction ?
A) \(\frac{2}{5}\)
B) \(\frac{5}{2}\)
C) 2 \(\frac{1}{2}\)
D) 3 \(\frac{1}{3}\)
Answer:
A) \(\frac{2}{5}\)
Question 71.
Which of the following is an improper fraction ?
A) 1\(\frac{3}{4}\)
B) 10 \(\frac{1}{2}\)
C) \(\frac{4}{5}\)
D) \(\frac{5}{4}\)
Answer:
D) \(\frac{5}{4}\)
Question 72.
Which of the following is a mixed fraction ?
A) \(\frac{10}{11}\)
B) \(\frac{11}{10}\)
C) 1 \(\frac{1}{10}\)
D) 1
Answer:
C) 1 \(\frac{1}{10}\)