explain 15 1/6 + 16 1/8 + 6 9/16 — step-by-step solution

⚠ 15 1/6 is read as the mixed number 15 + 1/6

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

Let's calculate:

15

+ \frac{1}{6}

+ 16

+ \frac{1}{8}

+ 6

+ \frac{9}{16}

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

\frac{1}{8} + \frac{9}{16}

\frac{2 + 9}{16}

ℹ

15 + 16

31

31

+ \frac{1}{6}

+ \frac{2 + 9}{16}

+ 6

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

2 + 9

11

ℹ

31 + 6

37

37 + \frac{1}{6} + \frac{11}{16}

ℹ

\frac{1}{6} + \frac{11}{16}

\frac{1 \times 8 + 11 \times 3}{6 \times 8}

37 + \frac{1 \times 8 + 11 \times 3}{6 \times 8}

ⓘMultiplications are done before additions and subtractions:

11 \times 3

(10 + 1) \times 3

10 \times 3 + 3

30 + 3

33

ℹ

1 \times 8

8

‖

6 \times 8

48

37 + \frac{8 + 33}{48}

ℹ

8 + 33

41

37 + \frac{41}{48}

▶Result:

37

\frac{41}{48}

The numeric value of:

37 + \frac{41}{48}

equals:

37 + \approx 0.8542

▷

\approx 37.8542