4 7/8 + 8 11/16 + 2 1/2

⚠ 4 7/8 is read as the mixed number 4 + 7/8■8 11/16 is read as the mixed number 8 + 11/16■2 1/2 is read as the mixed number 2 + 1/2

Let's evaluate:

4

+ \frac{7}{8}

+ 8

+ \frac{11}{16}

+ 2

+ \frac{1}{2}

ⓘ Start from

4

and move forward

8

on the number line:

4 + 8

12

■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}

12

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

+ 2

+ \frac{1}{2}

ⓘ Multiplications are done before additions and subtractions:

2 \times 7

14

■Start from

12

and move forward

2

on the number line:

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}

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose

16

, the least common multiple of

16

and

2

. Multiplying the numerator and the denominator by the same number does not change the fraction:

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

\frac{25}{16} + \frac{1 \times 8}{2 \times 8}

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

\frac{25 + 8}{16}

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

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

25 + 8

33

14 + \frac{33}{16}

▶Result:

16

\frac{1}{16}

ⓘ The fraction

\frac{33}{16}

is greater than 1: extract

2

from it and add it to the whole part:

14 + \frac{33}{16}

14 + \frac{32 + 1}{16}

14 + \frac{32}{16} + \frac{1}{16}

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

16 + \frac{1}{16}

The numeric value of:

16 + \frac{1}{16}

is:

16 + 0.0625

▷

16.0625

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