explain 4 7/8 + 8 11/16 + 2 1/2 — step-by-step solution

⚠ 4 7/8 is read as the mixed number 4 + 7/8

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

Let's calculate:

4

+ \frac{7}{8}

+ 8

+ \frac{11}{16}

+ 2

+ \frac{1}{2}

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

\frac{7}{8} + \frac{11}{16}

\frac{2 \times 7 + 11}{16}

ℹ

4 + 8

12

12

+ \frac{2 \times 7 + 11}{16}

+ 2

+ \frac{1}{2}

ⓘMultiplications are done before additions and subtractions:

2 \times 7

14

ℹ

12 + 2

14

14 + \frac{14 + 11}{16} + \frac{1}{2}

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

14 + 11

25

14 + \frac{25}{16} + \frac{1}{2}

ℹ

\frac{25}{16} + \frac{1}{2}

\frac{25 + 1 \times 8}{16}

14 + \frac{25 + 1 \times 8}{16}

ℹ

1 \times 8

8

14 + \frac{25 + 8}{16}

ℹ

25 + 8

33

14 + \frac{33}{16}

ⓘThe fraction

\frac{33}{16}

is greater than 1: add its integer part

2

to the whole part:

\frac{33}{16} + 14

16 + \frac{1}{16}

▶Result:

16

\frac{1}{16}

The numeric value of:

16 + \frac{1}{16}

equals:

16 + 0.0625

▷

16.0625