Find - 1 25-18ii 15-34iii 58-815

(i) 25×184=120 (ii) 15×34=320 (iii) 58×815=13 . ...

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Byju's Answer

Standard VII

Mathematics

Multiplication of Fractions

Find : 1 25...

Question

Find :
1) $\frac{2}{5} \times \frac{1}{8}$

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

iii) $\frac{5}{8} \times \frac{8}{15}$

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Solution

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

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

$= \frac{2}{40}$
$= \frac{1}{20}$
$∴ \frac{2}{5} \times \frac{1}{8} = \frac{1}{20}$
(ii)
$\frac{1}{5} \times \frac{3}{4}$

$= \frac{1 \times 3}{5 \times 4}$
$= \frac{3}{20}$

$∴ \frac{1}{5} \times \frac{3}{4} = \frac{3}{20}$

(iii)
$\frac{5}{8} \times \frac{8}{15}$

$= \frac{1}{3}$ . [By cancellations]

$∴ \frac{5}{8} \times \frac{8}{15} = \frac{1}{3}$

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Similar questions

Q. Simplify:
(i)

\frac{11}{12} \div (\frac{5}{9} \times \frac{18}{25})

(ii)

(2 \frac{1}{2} \times \frac{8}{10}) \div (1 \frac{1}{2} + \frac{5}{8})

(iii)

\frac{15}{16}

(\frac{5}{6} - \frac{1}{2}) \div \frac{10}{11}

(iv)

\frac{9}{8} \div \frac{3}{5}

(\frac{3}{4} + \frac{3}{5})

(v)

\frac{2}{5} \div {\frac{1}{5} o f [\frac{3}{4} - \frac{1}{2}] - 1}

(vi)

(1 \frac{3}{4} \times 3 \frac{1}{7}) - (4 \frac{3}{8} \div 5 \frac{3}{5})

Fill in the blanks:

$(i) - 4 \times \frac{7}{9} = \frac{7}{9} \times$ ___

$(i i) \frac{5}{11} \times \frac{- 3}{8} = \frac{- 3}{8} \times$ ___

$(i i i) \frac{1}{2} \times (\frac{3}{4} + \frac{- 5}{12}) = \frac{1}{2} \times$ ____ $+ (\times) \frac{- 5}{12}$

$(i v) \frac{- 4}{5} \times \frac{5}{7} \times$ ___ $= (\frac{- 4}{5} \times \frac{5}{7}) \times \frac{- 8}{9}$

Match the following:

$\begin{matrix} C o m p o u n d s & C o o r d i n a t i o n (A : B) (1) Z n S & (i) 8 : 8 (2) C s C l & (i i) 6 : 6 (3) N a C l & (i i i) 4 : 4 (4) N a_{2} O & (i v) 8 : 4 (5) C a F_{2} & (v) 4 : 8 \end{matrix}$

Q. Evaluate (i) (3

^{0} + 2^{- 1}

)

\times

4^{2}

(ii) (2

^{- 1} \times 4^{- 2}) \div 2^{- 3}

(iii)

(\frac{5}{8})^{7} \times (\frac{8}{5})^{- 5}

Find the value of 'x'. [3 MARKS]

(i) $4 x + 5 = 25$

(ii) $x - 2 \frac{1}{3} = 5 \frac{1}{2}$

(iii) $(7 x + 8) \div 7 = 8$

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Find : 1) 25×18ii) 15×34iii) 58×815

(i) 25×18=2×15×8=240=120∴25×18=120(ii) 15×34=1×35×4=320∴15×34=320(iii) 58×815=13. [By cancellations]∴58×815=13

Find :
1) $\frac{2}{5} \times \frac{1}{8}$

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

iii) $\frac{5}{8} \times \frac{8}{15}$