Question

Will 1/4 x 7/8 be larger or smaller than 1/4? Explain your answer.

Answer 1

It will be smaller than 1/4.

The reason being that 7/8 is a fraction which is less than 1, and that it can only be greater than 1/4 when the multiplying number, is a number which is greater than 1.

Note: When  a positive number is multiplied by a number which is less than 1, it makes the positive number to be smaller and

When a positive number is multiplied by a number which is greater than 1, it makes the positive number to be bigger.

Answer 2

$\frac{1}{4}$ × $\frac{7}{8}$ = $\frac{7}{32}$

$\frac{7}{32} = 0.21875$

$\frac{1}{4} = 0.25$

$\frac{1}{4}$ is greater than $\frac{1}{4}$ × $\frac{7}{8}$