Question

Find the fraction equivalent to 3/7,having the following numbers denominators i) 63 ii)105 iii) 140

Answer 1

SOLUTION

TO DETERMINE

The fraction equivalent to 3/7,having the following numbers denominators

i) 63

ii)105

iii) 140

EVALUATION

ANSWER TO QUESTION : 1

$\displaystyle \sf{}Here \: the \: given \: fraction \: is \: \: \frac{3}{7}$

$\sf{}63 \div 7 = 9$

Now in order to determine the fraction equivalent to given fraction With denominator as 63 we have to multiply both numerator and denominator by 9

With denominator as 63 we have to multiply both numerator and denominator by 9 So we get fraction as

$\displaystyle \sf{}\frac{3}{7} = \frac{3 \times 9}{7 \times 9} = \frac{27}{63}$

Hence the required fraction is

$\displaystyle \sf{} \frac{27}{63}$

ANSWER TO QUESTION : 2

$\displaystyle \sf{}Here \: the \: given \: fraction \: is \: \: \frac{3}{7}$

$\sf{}105 \div 7 = 15$

Now in order to determine the fraction equivalent to given fraction With denominator as 105 we have to multiply both numerator and denominator by 15

So we get the fraction as

$\displaystyle \sf{}\frac{3}{7} = \frac{3 \times 15}{7 \times 15} = \frac{45}{105}$

Hence the required fraction is

$\displaystyle \sf{} \frac{45}{105}$

ANSWER TO QUESTION : 3

$\displaystyle \sf{}Here \: the \: given \: fraction \: is \: \: \frac{3}{7}$

$\sf{}140 \div 7 = 20$

Now in order to determine the fraction equivalent to given fraction With denominator as 140 we have to multiply both numerator and denominator by 20

So we get the fraction as

$\displaystyle \sf{}\frac{3}{7} = \frac{3 \times 20}{7 \times 20} = \frac{60}{140}$

Hence the required fraction is

$\displaystyle \sf{} \frac{60}{140}$

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LEARN MORE FROM BRAINLY

without actually performing the long division state whether 13/3125 and 13/343 will have a terminating decimal expansion

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