Skip to content

Fraction Calculation Examples With Answers

Follow three worked fraction examples for adding unlike fractions, subtracting mixed numbers, and multiplying or dividing with exact answers.

How should you use these Fraction Calculator examples?

These examples turn the Fraction Calculator inputs into complete scenarios with stated values, calculation steps, and interpreted results. Use them to check how the calculator behaves, compare your own situation with realistic cases, and identify which inputs have the greatest effect before relying on an estimate.

Example 1: Add Unlike Fractions

Find 2/3 + 3/4. The least common denominator is 12, so rewrite both fractions before adding.

23+34=812+912=1712=1  512\frac{2}{3}+\frac{3}{4}=\frac{8}{12}+\frac{9}{12}=\frac{17}{12}=1\;\frac{5}{12}

The exact answer is 17/12 or 1 5/12. Its decimal display is 1.42.

Example 2: Subtract Mixed Numbers

Convert 3 1/2 and 1 2/3 to improper fractions, then use the common denominator 6.

3  12−1  23=72−53=21−106=116=1  563\;\frac{1}{2}-1\;\frac{2}{3}=\frac{7}{2}-\frac{5}{3}=\frac{21-10}{6}=\frac{11}{6}=1\;\frac{5}{6}

The exact answer is 11/6. The decimal display rounds to 1.83.

Example 3: Divide Fractions

Divide 7/8 by 14/15 by multiplying the first fraction by the reciprocal of the second.

78÷1415=78×1514=105112=1516\frac{7}{8}\div\frac{14}{15}=\frac{7}{8}\times\frac{15}{14}=\frac{105}{112}=\frac{15}{16}

The reduced answer is 15/16, which equals 0.94 and 93.75% in the rounded displays.

References

Try these scenarios in the Fraction Calculator or report an issue through the Contact Us page.

Use the Fraction Calculator