Simplify -4-5- 13-5-53-25

We first convert mixed fraction into improper fraction,4/5× 13/5÷53/250ex0ex= 4/5×8/5÷128/250ex0ex= 4/5×8/5×25/1280ex0ex= 4× 8× 25/5× 5× 1280ex0ex=800/32000ex0e ...

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Standard VI

Mathematics

Word Problems

Simplify :4/5...

Question

Simplify :
$\frac{4}{5} \times 1 \frac{3}{5} \div 5 \frac{3}{25}$

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Solution

We first convert mixed fraction into improper fraction,
$\frac{4}{5} \times 1 \frac{3}{5} \div 5 \frac{3}{25} = \frac{4}{5} \times \frac{8}{5} \div \frac{128}{25} = \frac{4}{5} \times \frac{8}{5} \times \frac{25}{128}$
$= \frac{4 \times 8 \times 25}{5 \times 5 \times 128} = \frac{800}{3200} = \frac{1}{4}$ $($ ∵ dividing numerator and denominator by $800)$

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Similar questions

Fill in the blanks :

Number

Product Form

Exponential

Form

________

5 \times 5 \times 5 \times 5 \times 5

________

Q. Simplify:

\frac{\sqrt{5} + 2}{\sqrt{5} - 2} - \frac{\sqrt{5} - 2}{\sqrt{5} + 2}

Q. Simplify:

\frac{25}{\sqrt{5}}

What number will replace ' $*$ ' mark?

$\frac{4}{5}$ $=$ $\frac{*}{20}$

Q. simplify (2⁵/2⁸)⁵* 2^-5

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Simplify :45×135÷5325

We first convert mixed fraction into improper fraction,45×135÷5325=45×85÷12825=45×85×25128=4×8×255×5×128=8003200=14 (∵ dividing numerator and denominator by 800)

Simplify :
$\frac{4}{5} \times 1 \frac{3}{5} \div 5 \frac{3}{25}$