NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 2: Fractions and Decimals
Fill in the Blanks

In questions 21 to 44, fill in the blanks to make the statements true.

Question. 21

Rani ate \(\dfrac{2}{7}\) part of a cake while her brother Ravi ate \(\dfrac{4}{5}\) of the remaining. Part of the cake left is ________

Answer:

Rani ate \(\dfrac{2}{7}\) part of a cake while her brother Ravi ate \(\dfrac{4}{5}\) of the remaining. Part of the cake left is \(\dfrac{1}{7}\).

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Question. 22

The reciprocal of \(\dfrac{3}{7}\) is ________

Answer:

The reciprocal of \(\dfrac{3}{7}\) is \(\dfrac{7}{3}\).

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Question. 23

\(\dfrac{2}{3}\) of \(27\) is ________

Answer:

\(\dfrac{2}{3}\) of \(27\) is \(18\).

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Question. 24

\(\dfrac{4}{5}\) of \(45\) is ______

Answer:

\(\dfrac{4}{5}\) of \(45\) is \(36\).

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Question. 25

\(4 \times 6\dfrac{1}{3}\) is equal to ______

Answer:

\(4 \times 6\dfrac{1}{3}\) is equal to \(\dfrac{76}{3}\).

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Question. 26

\(\dfrac{1}{2}\) of \(4\dfrac{2}{7}\) is ______

Answer:

\(\dfrac{1}{2}\) of \(4\dfrac{2}{7}\) is \(\dfrac{15}{7}\).

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Question. 27

\(\dfrac{1}{9}\) of \(\dfrac{6}{5}\) is ______

Answer:

\(\dfrac{1}{9}\) of \(\dfrac{6}{5}\) is \(\dfrac{2}{15}\).

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Question. 28

The lowest form of the product \(2\dfrac{3}{7}\times\dfrac{7}{9}\) is ______

Answer:

The lowest form of the product \(2\dfrac{3}{7}\times\dfrac{7}{9}\) is \(\dfrac{17}{9}\).

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Question. 29

\(\dfrac{4}{5}\div4\) is equal to ______

Answer:

\(\dfrac{4}{5}\div4\) is equal to \(\dfrac{1}{5}\).

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Question. 30

\(\dfrac{2}{5}\) of \(25\) is ______

Answer:

\(\dfrac{2}{5}\) of \(25\) is \(10\).

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Question. 31

\(\dfrac{1}{5} \div \dfrac{5}{6} = (\dfrac{1}{5})\, \_\_\_\_\, \dfrac{6}{5}\)

Answer:

\(\dfrac{1}{5} \div \dfrac{5}{6} = (\dfrac{1}{5})\, \(\times\) \, \dfrac{6}{5}\)

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Question. 32

\(3.2 \times 10 =\) ______

Answer:

\(3.2 \times 10 =\) \(32\).

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Question. 33

\(25.4 \times 1000 =\) ______

Answer:

\(25.4 \times 1000 =\) \(25400\).

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Question. 34

\(93.5 \times 100 =\) ______

Answer:

\(93.5 \times 100 =\) \(9350\).

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Question. 35

\(4.7 \div 10 =\) ______

Answer:

\(4.7 \div 10 =\) \(0.47\).

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Question. 36

\(4.7 \div 100 =\) ______

Answer:

\(4.7 \div 100 =\) \(0.047\).

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Question. 37

\(4.7 \div 1000 =\) ______

Answer:

\(4.7 \div 1000 =\) \(0.0047\).

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Question. 38

The product of two proper fractions is ______ than each of the fractions that are multiplied.

Answer:

The product of two proper fractions is Less than each of the fractions that are multiplied.

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Question. 39

While dividing a fraction by another fraction, we ______ the first fraction by the ______ of the other fraction.

Answer:

While dividing a fraction by another fraction, we multiply the first fraction by the reciprocal of the other fraction.

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Question. 40

\(8.4 \div\) ______ \(= 2.1\)

Answer:

\(8.4 \div\) \(4\) \(= 2.1\)

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Question. 41

\(52.7 \div\) ______ \(= 0.527\)

Answer:

\(52.7 \div\) \(100\) \(= 0.527\)

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Question. 42

\(0.5\) _____ \(0.7 = 0.35\)

Answer:

\(0.5\) \(\times\) \(0.7 = 0.35\)

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Question. 43

\(2\) ____ \(\dfrac{5}{3} = \dfrac{10}{3}\)

Answer:

\(2\) \(\times\) \(\dfrac{5}{3} = \dfrac{10}{3}\)

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Question. 44

\(2.001 \div 0.003 =\) __________

Answer:

\(2.001 \div 0.003 =\) \(667\).

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NCERT Exemplar Solutions Class 7 – Mathematics – Unit 2: Fractions and Decimals – Fill in the Blanks | Detailed Answers