Unit Fraction Math Example 4

Follow the full solution, then compare it with the other examples linked below.

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A recipe uses

\dfrac{3}{4}

cup of flour. Express this as a sum of unit fractions using only

\dfrac{1}{2}

and

\dfrac{1}{4}

1
$\dfrac{3}{4} = \dfrac{2}{4} + \dfrac{1}{4} = \dfrac{1}{2} + \dfrac{1}{4}$ .
2
Verify: $\dfrac{1}{2} + \dfrac{1}{4} = \dfrac{2}{4} + \dfrac{1}{4} = \dfrac{3}{4}$ . ✓

Answer

\dfrac{3}{4} = \dfrac{1}{2} + \dfrac{1}{4}

Unit fractions give a concrete way to decompose any fraction into simpler, measurable parts. In practical contexts like cooking, measuring

\frac{1}{2}

cup then

\frac{1}{4}

cup is often easier than finding a

\frac{3}{4}

measure.

About Unit Fraction

A fraction with numerator 1, like $\frac{1}{3}$ or $\frac{1}{8}$ , representing exactly one equal part of a whole.

Express [formula] as a sum of distinct unit fractions with denominator at most [formula].

Which is larger, [formula] or [formula]? Explain using the meaning of unit fractions, then verify wi

Order the unit fractions [formula], [formula], [formula], [formula] from least to greatest.