explain 8 3/5 + 7 9/16 — step-by-step solution

⚠ 8 3/5 is read as the mixed number 8 + 3/5

⚠ 7 9/16 is read as the mixed number 7 + 9/16

Let's evaluate:

8

+ \frac{3}{5}

+ 7

+ \frac{9}{16}

ℹ

8 + 7

15

15 + \frac{3}{5} + \frac{9}{16}

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

\frac{3}{5} + \frac{9}{16}

\frac{3 \times 16 + 9 \times 5}{5 \times 16}

15 + \frac{3 \times 16 + 9 \times 5}{5 \times 16}

ⓘMultiplications are done before additions and subtractions:

3 \times 16

(10 + 6) \times 3

10 \times 3 + 6 \times 3

30 + 18

48

‖

5 \times 16

(10 + 6) \times 5

10 \times 5 + 6 \times 5

50 + 30

80

ℹ

9 \times 5

45

15 + \frac{48 + 45}{80}

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

48 + 45

93

15 + \frac{93}{80}

ⓘThe fraction

\frac{93}{80}

is greater than 1: add its integer part

1

to the whole part:

\frac{93}{80} + 15

16 + \frac{13}{80}

▶Result:

16

\frac{13}{80}

The approximate value of:

16 + \frac{13}{80}

equals:

16 + 0.1625

▷

16.1625