explain 12 1/3 + 14 6/7 — step-by-step solution

⚠ 12 1/3 is read as the mixed number 12 + 1/3

⚠ 14 6/7 is read as the mixed number 14 + 6/7

Let's calculate:

12

+ \frac{1}{3}

+ 14

+ \frac{6}{7}

ℹ

12 + 14

26

26 + \frac{1}{3} + \frac{6}{7}

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

\frac{1}{3} + \frac{6}{7}

\frac{1 \times 7 + 6 \times 3}{3 \times 7}

26 + \frac{1 \times 7 + 6 \times 3}{3 \times 7}

ⓘMultiplications are done before additions and subtractions:

6 \times 3

18

ℹ

1 \times 7

7

‖

3 \times 7

21

26 + \frac{7 + 18}{21}

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

7 + 18

25

26 + \frac{25}{21}

ⓘThe fraction

\frac{25}{21}

is greater than 1: add its integer part

1

to the whole part:

\frac{25}{21} + 26

27 + \frac{4}{21}

▶Result:

27

\frac{4}{21}

The numeric value of:

27 + \frac{4}{21}

equals:

27 + \approx 0.1905

▷

\approx 27.1905