explain 18 5/8 + 20 11/16 — step-by-step solution

⚠ 18 5/8 is read as the mixed number 18 + 5/8

⚠ 20 11/16 is read as the mixed number 20 + 11/16

Let's calculate:

18

+ \frac{5}{8}

+ 20

+ \frac{11}{16}

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

\frac{5}{8} + \frac{11}{16}

\frac{2 \times 5 + 11}{16}

ℹ

18 + 20

38

38 + \frac{2 \times 5 + 11}{16}

ⓘMultiplications are done before additions and subtractions:

2 \times 5

10

38 + \frac{10 + 11}{16}

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

10 + 11

21

38 + \frac{21}{16}

ⓘThe fraction

\frac{21}{16}

is greater than 1: add its integer part

1

to the whole part:

\frac{21}{16} + 38

39 + \frac{5}{16}

▶Result:

39

\frac{5}{16}

The numeric value of:

39 + \frac{5}{16}

equals:

39 + 0.3125

▷

39.3125