Question

Rewrite 14 / 25 and 11 / 20 so that they have a common denominator

Answer 1

The fraction equivalent of the given fractions with the same denominator is written as $\frac{56}{100} \ and \ \frac{55}{100}$

The given parameters include:

$\frac{14}{25} \ and \ \frac{11}{20}$

To rewrite the given fractions to have the same denominator, we must find the LCM of the denominators;

The prime factorization of 25 = 5²

The prime factorization of 20 = 5 x 2²

The LCM of the two numbers = 5² x 2²  = 25 x 4 = 100

The fractions can rewritten as follows;

$\frac{14}{25} \ = \frac{14}{25} \times \frac{4}{4} = \frac{14 \times 4}{25 \times 4} = \frac{56}{100} \\\\\frac{11}{20} \ = \frac{11}{20} \times \frac{5}{5} = \frac{11 \times 5}{20 \times 5} = \frac{55}{100}$

Thus, the fraction equivalent of the given fractions with the same denominator is written as $\frac{56}{100} \ and \ \frac{55}{100}$

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