explain 7 4/15 + 9 1/6 + 15 1/2 — step-by-step solution

⚠ 7 4/15 is read as the mixed number 7 + 4/15

⚠ 9 1/6 is read as the mixed number 9 + 1/6

Let's evaluate:

7

+ \frac{4}{15}

+ 9

+ \frac{1}{6}

+ 15

+ \frac{1}{2}

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

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

\frac{1 + 3}{6}

ℹ

7 + 9

16

16

+ \frac{4}{15}

+ \frac{1 + 3}{6}

+ 15

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

1 + 3

4

ℹ

16 + 15

31

31 + \frac{4}{15} + \frac{4}{6}

ℹ

\frac{4}{15} + \frac{4}{6}

\frac{4 \times 2 + 4 \times 5}{15 \times 2}

31 + \frac{4 \times 2 + 4 \times 5}{15 \times 2}

ⓘMultiplications are done before additions and subtractions:

4 \times 2

8

‖

15 \times 2

(10 + 5) \times 2

10 \times 2 + 5 \times 2

20 + 10

30

ℹ

4 \times 5

20

31 + \frac{8 + 20}{30}

ℹ

8 + 20

28

31 + \frac{28}{30}

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

2

\frac{28}{30}

\frac{14 \times 2}{15 \times 2}

\frac{14}{15}

31 + \frac{14}{15}

▶Result:

31

\frac{14}{15}

The numeric value of:

31 + \frac{14}{15}

is:

31 + \approx 0.9333

▷

\approx 31.9333