Find the equivalent fraction of $ \frac{13}{7} $ having
a. numerator 52 .
b. denominator 49.
c. numerator 130.
d. denominator 63.

Equivalent fractions:

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.

a. \( \frac{13}{7} \)

13 is in the numerator, multiply 4 in both numerator and denominator to get 52. 

$\frac{13 \times 4}{7\times 4}  =  \frac{52}{28}$

$\frac{13}{7}  = \frac {52}{28}$

b. \( \frac{13}{7} \)

7 is in the denominator, multiply 7 in both numerator and denominator to get 49. 

$\frac{13 \times 7}{7\times 7}  =  \frac{91}{49}$

$\frac{13}{7}  = \frac {91}{49}$

c. \( \frac{13}{7} \)

13 is in the numerator, multiply 10 in both numerator and denominator to get 130. 

$\frac{13 \times 10}{7\times 10}  =  \frac{130}{70}$

$\frac{13}{7}  = \frac {130}{70}$

d. \( \frac{13}{7} \)

7 is in the denominator, multiply 9 in both numerator and denominator to get 63. 

$\frac{13 \times 9}{7\times 9}  =  \frac{117}{63}$

$\frac{13}{7}  = \frac {117}{63}$

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Updated on: 10-Oct-2022

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