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

Exercise 2B

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

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Question 1

Simplify :

(a) $\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}$

Sol :

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

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

(b) $\frac{2}{5}+\frac{2}{5}+\frac{2}{5}+\frac{2}{5}+\frac{2}{5}$

Sol :

$=\frac{2+2+2+2+2}{5}$

$=\frac{10}{5}$

=2

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

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Question 2

(a) $7\times \frac{1}{8}$
Sol :

$=\frac{7}{8}$

(b) $8\times \frac{2}{15}$

Sol :

$=\frac{16}{15}=1\frac{1}{15}$

(c) $8\times \frac{3}{4}$

Sol :

$=\frac{24}{4}$

=6

(d) $20\times \frac{4}{5}$

Sol :

=16

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

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Question 3

(a) $4\frac{7}{9}\times 12$

Sol :

$=\frac{43}{9}\times 12=\frac{172}{3}$

$=57\frac{1}{3}$

(b) $\frac{1}{48}\times 6$

Sol :

$=\frac{1}{8}$

(c) $2\frac{1}{10}\times 15$

Sol :

$=\frac{21}{10}\times 15$

$=\frac{63}{2}=31\frac{1}{2}$

(d) $4\frac{1}{6}\times 3$

Sol :

$=\frac{25}{6}\times 3$

$=12\frac{1}{2}$

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

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Question 4

Evaluate each expression. write each answer in simplest form

(a) 15a for a $=\frac{11}{15}$

Sol :

$=15\times \frac{11}{15}$

=11

(b) $\frac{2}{3} x$ for $x=27$

Sol :

$=\frac{2}{3}\times 21$

=18

(c) $\frac{1}{4} y$ for $y=36$

Sol :

$=\frac{1}{4}\times 36$

=9

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

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Question 5

Compare write >, < or =

(a) $8 \times \frac{1}{20} \square \frac{1}{3}$

Sol :

$8\times \frac{1}{20}=\frac{2}{5}$

$\frac{2}{5} \square \frac{1}{3}$

L.C.M of 5,3 is 15

$\frac{2\times 3}{5\times 3}=\frac{6}{15}$ 

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

$8\frac{1}{20}>\frac{1}{3}$

(b) $7 \square 28 \times \frac{2}{7}$

Sol :

$28\times \frac{2}{7}$

$7<28\times \frac{2}{7}$

(c) $8 \times \frac{3}{32} \square \frac{3}{4}$

Sol :

$8\times \frac{3}{32}=\frac{3}{4}$

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Q6 | Ex-2B | Class 7 | Schand New Learning Composite | Fractions and Decimals | Chapter 2| myhelper

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Question 6

Nishi spent 90 minutes completing her homework Of those minutes she spent $\frac{1}{9}$ minutes on learning spelling how much time did Nishi spent on learning spelling?

Sol :

Nishi spend time on learning spellings $= \left(90 \times \frac{1}{9}\right)$ m

= 10 m.