explain 12 5/6 + 7 1/15 — step-by-step solution

⚠ 12 5/6 is read as the mixed number 12 + 5/6

⚠ 7 1/15 is read as the mixed number 7 + 1/15

Let's calculate:

12

+ \frac{5}{6}

+ 7

+ \frac{1}{15}

ℹ

12 + 7

19

19 + \frac{5}{6} + \frac{1}{15}

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

\frac{5}{6} + \frac{1}{15}

\frac{5 \times 5 + 1 \times 2}{6 \times 5}

19 + \frac{5 \times 5 + 1 \times 2}{6 \times 5}

ⓘMultiplications are done before additions and subtractions:

5 \times 5

25

ℹ

1 \times 2

2

‖

6 \times 5

30

19 + \frac{25 + 2}{30}

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

25 + 2

27

19 + \frac{27}{30}

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

3

\frac{27}{30}

\frac{9 \times 3}{10 \times 3}

\frac{9}{10}

19 + \frac{9}{10}

▶Result:

19

\frac{9}{10}

The approximate value of:

19 + \frac{9}{10}

equals:

19 + 0.9

▷

19.9