NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 2: Fractions and Decimals

Fill in the Blanks

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 \(\dfrac{1}{7}\).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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