Question

is 5/8 closer to 3/4 or 1/4 ?
explain step by step solution.​

Answer 1

To find if $\frac{5}{8}$ is closer to $\frac{3}{4}$ or $\frac{1}{4}$, we have to take like fractions i.e. fractions having the same value in the denominator.

So, we have to take the $LCM$ of $8$ and $4$ which is $8$.

Multiplying $\frac{5}{8}$, $\frac{3}{4}$ and $\frac{1}{4}$ according to the $LCM$.

$\frac{5\times1}{8\times1}=\frac{5}{8}$

$\frac{3\times2}{4\times2}=\frac{6}{8}$

$\frac{1\times2}{4\times2}=\frac{2}{8}$

Therefore, to find which is closer to $\frac{5}{8}$, we have to subtract.

$\frac{5}{8}-\frac{2}{8}$

=$\frac{3}{8}$ $\longrightarrow$equation 1

$\frac{6}{8}-\frac{5}{8}$

=$\frac{1}{8}$ $\longrightarrow$equation 2

Comparing the values in equation 1 and equation 2, we derive that $\frac{1}{8}$ is less than $\frac{3}{8}$.

Therefore, $\frac{3}{4}$ is closer to $\frac{5}{8}$ than $\frac{1}{4}$.