explain 3 7/12 + 23 2/3 — step-by-step solution

⚠ 3 7/12 is read as the mixed number 3 + 7/12

⚠ 23 2/3 is read as the mixed number 23 + 2/3

Let's calculate:

3

+ \frac{7}{12}

+ 23

+ \frac{2}{3}

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

\frac{7}{12} + \frac{2}{3}

\frac{7 + 4 \times 2}{12}

ℹ

3 + 23

26

26 + \frac{7 + 4 \times 2}{12}

ⓘMultiplications are done before additions and subtractions:

4 \times 2

8

26 + \frac{7 + 8}{12}

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

7 + 8

15

26 + \frac{15}{12}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

3

\frac{15}{12}

\frac{5 \times 3}{4 \times 3}

\frac{5}{4}

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