Question

Fill in the missing equivalent fraction.

$\frac{54}{60}=\frac{45}{50}=$_________$=\frac{27}{30}=\frac{18}{20}=\frac{9}{10}$

• A. $\frac{36}{40}$
• B. $\frac{54}{40}$
• C. $\frac{54}{60}$

Answer 1

The correct option is A $\frac{36}{40}$

$\frac{54}{60}=\frac{45}{50}=$_______$=\frac{27}{30}=\frac{18}{20}=\frac{9}{10}$
If we write all the numerators as multiples of $9$ and all denominator as multiples of $10$, we get:

$\frac{9}{10}=\frac{9\times 2}{10\times 2}=\frac{9\times 3}{10\times 3}=$_______$=\frac{9\times 5}{10\times 5}=\frac{9\times 6}{10\times 6}$
$\frac{9\times 6}{10\times 6}=\frac{9\times 5}{10\times 5}=$_______$=\frac{9\times 3}{10\times 3}=\frac{9\times 2}{10\times 2}=\frac{9}{10}$

It is clear that all fractions are equivalent to $\frac{9}{10}$ and according to the pattern, the missing equivalent fraction should be $\frac{9\times 4}{10\times 4}=\frac{36}{40}$