explain 9 5/16 + 16 4/5 — step-by-step solution

⚠ 9 5/16 is read as the mixed number 9 + 5/16

⚠ 16 4/5 is read as the mixed number 16 + 4/5

Let's calculate:

9

+ \frac{5}{16}

+ 16

+ \frac{4}{5}

ℹ

9 + 16

25

25 + \frac{5}{16} + \frac{4}{5}

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

\frac{5}{16} + \frac{4}{5}

\frac{5 \times 5 + 4 \times 16}{16 \times 5}

25 + \frac{5 \times 5 + 4 \times 16}{16 \times 5}

ⓘMultiplications are done before additions and subtractions:

5 \times 5

25

‖

4 \times 16

(10 + 6) \times 4

10 \times 4 + 6 \times 4

40 + 24

64

‖

16 \times 5

(10 + 6) \times 5

10 \times 5 + 6 \times 5

50 + 30

80

25 + \frac{25 + 64}{80}

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

25 + 64

89

25 + \frac{89}{80}

ⓘThe fraction

\frac{89}{80}

is greater than 1: add its integer part

1

to the whole part:

\frac{89}{80} + 25

26 + \frac{9}{80}

▶Result:

26

\frac{9}{80}

The numeric value of:

26 + \frac{9}{80}

equals:

26 + 0.1125

▷

26.1125