S.chand publication New Learning Composite mathematics solution of class 7 Chapter 2 Fractions and Decimals Exercise 2C

Exercise 2C

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Q1 | Ex-2C | Class 7 | Schand New Learning Composite | Fractions and Decimals | Chapter 2| myhelper

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Question 1

Simplify:

(a) $\frac{3}{4}\times \frac{12}{17}$

Sol :

$=\frac{9}{17}$

(b) $\frac{7}{9}\times \frac{18}{19}$

Sol :

$=\frac{14}{19}$

(c) $\frac{8}{15}\times \frac{5}{16}$

Sol :

$=\frac{1}{6}$

(d) $\frac{5}{26}\times \frac{39}{40}$

Sol :

$=\frac{3}{16}$

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Q2 | Ex-2C | Class 7 | Schand New Learning Composite | Fractions and Decimals | Chapter 2| myhelper

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Question 2

Multiply and write each answer in simplest form.

(a) $\frac{9}{16}$ by $\frac{8}{15}, \frac{10}{27}, 1 \frac{7}{9}, 3 \frac{5}{9}$

(i)

$\frac{9}{16}\times \frac{8}{15}$

$=\frac{3}{10}$

(ii)

$\frac{9}{16}\times \frac{10}{27}$

$=\frac{5}{24}$

(iii)

$\frac{9}{16}\times 1\frac{7}{9}$

$=\frac{9}{16}\times \frac{16}{9}$

=1

(iv)

$\frac{9}{16}\times 3\frac{5}{9}$

$=\frac{9}{16}\times \frac{32}{9}$

=2

(b) $1 \frac{3}{5}$ by $\frac{5}{8}, 1 \frac{1}{4}, \frac{15}{16}, 3 \frac{3}{4}$

(i)

$1\frac{3}{5}\times \frac{5}{8}$

$=\frac{8}{5}\times \frac{5}{8}$

=1

(ii)

$1\frac{3}{5}\times 1 \frac{1}{4}$

$=\frac{8}{5}\times \frac{5}{4}$

=2

(iii)

$1\frac{3}{5}\times \frac{15}{16}$

$=\frac{8}{5}\times \frac{15}{16}$

$=\frac{3}{2}=1\frac{1}{2}$

(iv)

$1\frac{3}{5}\times 3\frac{3}{4}$

$=\frac{8}{5}\times \frac{15}{4}$

=6

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Q3 | Ex-2C | Class 7 | Schand New Learning Composite | Fractions and Decimals | Chapter 2| myhelper

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Question 3

Simplify the following.

(a) $2\frac{3}{8}\times 5\frac{1}{5}$

Sol :

$=\frac{19}{8}\times \frac{26}{5}$

$=\frac{247}{20}=12\frac{7}{20}$

(b) $2\frac{2}{9}\times \frac{3}{5}$

Sol :

$=\frac{20}{9}\times \frac{3}{5}$

$=\frac{4}{3}=1\frac{1}{3}$

(c) $1\frac{1}{2}\times 2\frac{2}{5}$

Sol :

$=\frac{3}{2}\times \frac{12}{5}$

$=\frac{18}{5}=3\frac{3}{5}$

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Q4 | Ex-2C | Class 7 | Schand New Learning Composite | Fractions and Decimals | Chapter 2| myhelper

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Question 4

(a) $2 \times \frac{4}{5} \times 1 \frac{2}{3}$

$2\frac{4}{5}\times \frac{5}{3}$

$=\frac{8}{3}$

(b) $2\frac{5}{6}\times \frac{18}{85}\times 3\frac{8}{9}$

$=\frac{17}{6}\times \frac{18}{85}\times \frac{35}{9}$

$=\frac{7}{3}=2\frac{1}{3}$

(c) $1\frac{2}{7}\times 3\times 2\frac{5}{8}$

$=\frac{9}{7}\times 3\times \frac{21}{8}$

$=\frac{81}{8}=10\frac{1}{8}$

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Q5 | Ex-2C | Class 7 | Schand New Learning Composite | Fractions and Decimals | Chapter 2| myhelper

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Question 5

Ravi used $1 \frac{2}{5}$ bags of soil for his garden. He is digging another garden that will need $\frac{1}{5}$ as much soil a original. How much soil will he use in total?

Sol :

Ravi used soil in total$=\left(1\frac{2}{5}\times \frac{1}{5}\right)+1\frac{2}{5}$

$=\left(\frac{7}{5}\times \frac{1}{5}\right)+\frac{7}{5}$

$=\frac{7}{25}+\frac{7}{5}$

$=\frac{7+35}{25}=\frac{42}{25}$

$=1\frac{17}{25}$