Question

which expression shows $\frac{3}{4}$ as a sum of unit fractions?
$\frac{3}{4} + \frac{1}{4}$
$\frac{2}{4} + \frac{2}{4}$
$\frac{1}{3} + \frac{1}{3} + \frac{1}{3} + \frac{1}{3}$
$\frac{1}{4} + \frac{1}{4} + \frac{1}{4}$

Explanation:

Step1: Recall unit fraction definition

A unit fraction has numerator 1. So we check each option.

Step2: Analyze Option 1

$\frac{3}{4} + \frac{1}{4}$: $\frac{3}{4}$ is not a unit fraction, so reject.

Step3: Analyze Option 2

$\frac{2}{4} + \frac{2}{4}$: Both have numerator 2, not unit fractions, reject.

Step4: Analyze Option 3

$\frac{1}{3} + \frac{1}{3} + \frac{1}{3} + \frac{1}{3}$: Denominator is 3, but we need to sum to $\frac{3}{4}$, so reject (sum is $\frac{4}{3}
eq \frac{3}{4}$).

Step5: Analyze Option 4

$\frac{1}{4} + \frac{1}{4} + \frac{1}{4}$: Each is a unit fraction, sum is $\frac{3}{4}$.

Answer:

$\frac{1}{4} + \frac{1}{4} + \frac{1}{4}$ (the fourth option)