explain 8 11/16 + 15 1/6 + 20 7/12 — step-by-step solution

⚠ 8 11/16 is read as the mixed number 8 + 11/16

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

Let's evaluate:

8

+ \frac{11}{16}

+ 15

+ \frac{1}{6}

+ 20

+ \frac{7}{12}

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

\frac{1}{6} + \frac{7}{12}

\frac{2 + 7}{12}

ℹ

8 + 15

23

23

+ \frac{11}{16}

+ \frac{2 + 7}{12}

+ 20

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

2 + 7

9

ℹ

23 + 20

43

43 + \frac{11}{16} + \frac{9}{12}

ℹ

\frac{11}{16} + \frac{9}{12}

\frac{11 \times 3 + 9 \times 4}{16 \times 3}

43 + \frac{11 \times 3 + 9 \times 4}{16 \times 3}

ⓘMultiplications are done before additions and subtractions:

11 \times 3

(10 + 1) \times 3

10 \times 3 + 3

30 + 3

33

‖

16 \times 3

(10 + 6) \times 3

10 \times 3 + 6 \times 3

30 + 18

48

ℹ

9 \times 4

36

43 + \frac{33 + 36}{48}

ℹ

33 + 36

69

43 + \frac{69}{48}

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

3

\frac{69}{48}

\frac{23 \times 3}{16 \times 3}

\frac{23}{16}

43 + \frac{23}{16}

ⓘThe fraction

\frac{23}{16}

is greater than 1: add its integer part

1

to the whole part:

\frac{23}{16} + 43

44 + \frac{7}{16}

▶Result:

44

\frac{7}{16}

The numeric value of:

44 + \frac{7}{16}

equals:

44 + 0.4375

▷

44.4375