explain 16 2/15 + 8 1/16 + 8 7/12 — step-by-step solution

⚠ 16 2/15 is read as the mixed number 16 + 2/15

⚠ 8 1/16 is read as the mixed number 8 + 1/16

Let's evaluate:

16

+ \frac{2}{15}

+ 8

+ \frac{1}{16}

+ 8

+ \frac{7}{12}

ℹ

16 + 8

24

24

+ \frac{2}{15}

+ \frac{1}{16}

+ 8

+ \frac{7}{12}

ℹ

24 + 8

32

32

+ \frac{2}{15}

+ \frac{1}{16}

+ \frac{7}{12}

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

\frac{2}{15} + \frac{1}{16}

\frac{2 \times 16 + 1 \times 15}{15 \times 16}

32 + \frac{2 \times 16 + 1 \times 15}{15 \times 16} + \frac{7}{12}

ⓘMultiplications are done before additions and subtractions:

2 \times 16

(10 + 6) \times 2

10 \times 2 + 6 \times 2

20 + 12

32

‖

15 \times 16

16 \times (10 + 5)

16 \times 10 + 16 \times 5

160 + 80

240

ℹ

1 \times 15

15

32 + \frac{32 + 15}{240} + \frac{7}{12}

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

32 + 15

47

32 + \frac{47}{240} + \frac{7}{12}

ℹ

\frac{47}{240} + \frac{7}{12}

\frac{47 + 7 \times 20}{240}

32 + \frac{47 + 7 \times 20}{240}

ℹ

7 \times 20

140

32 + \frac{47 + 140}{240}

ℹ

47 + 140

187

32 + \frac{187}{240}

▶Result:

32

\frac{187}{240}

The approximate value of:

32 + \frac{187}{240}

is:

32 + \approx 0.7792

▷

\approx 32.7792