explain 12 3/4 + 14 1/2 — step-by-step solution

⚠ 12 3/4 is read as the mixed number 12 + 3/4

⚠ 14 1/2 is read as the mixed number 14 + 1/2

Let's evaluate:

12

+ \frac{3}{4}

+ 14

+ \frac{1}{2}

ⓘTo add fractions, put them over the same denominator, then add the numerators:

\frac{3}{4} + \frac{1}{2}

\frac{3 + 2}{4}

ℹ

12 + 14

26

26 + \frac{3 + 2}{4}

ⓘThe numerator and the denominator are computed before the division:

3 + 2

5

26 + \frac{5}{4}

ⓘThe fraction

\frac{5}{4}

is greater than 1: add its integer part

1

to the whole part:

\frac{5}{4} + 26

27 + \frac{1}{4}

▶Result:

27

\frac{1}{4}

The numeric value of:

27 + \frac{1}{4}

equals:

27 + 0.25

▷

27.25