explain 8 7/16 + 9 2/7 — step-by-step solution

⚠ 8 7/16 is read as the mixed number 8 + 7/16

⚠ 9 2/7 is read as the mixed number 9 + 2/7

Let's evaluate:

8

+ \frac{7}{16}

+ 9

+ \frac{2}{7}

ℹ

8 + 9

17

17 + \frac{7}{16} + \frac{2}{7}

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

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

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

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

ⓘMultiplications are done before additions and subtractions:

7 \times 7

49

‖

2 \times 16

(10 + 6) \times 2

10 \times 2 + 6 \times 2

20 + 12

32

‖

16 \times 7

(10 + 6) \times 7

10 \times 7 + 6 \times 7

70 + 42

112

17 + \frac{49 + 32}{112}

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

49 + 32

81

17 + \frac{81}{112}

▶Result:

17

\frac{81}{112}

The approximate value of:

17 + \frac{81}{112}

is:

17 + \approx 0.7232

▷

\approx 17.7232