explain 17 6/7 + 12 15/16 — step-by-step solution

⚠ 17 6/7 is read as the mixed number 17 + 6/7

⚠ 12 15/16 is read as the mixed number 12 + 15/16

Let's evaluate:

17

+ \frac{6}{7}

+ 12

+ \frac{15}{16}

ℹ

17 + 12

29

29 + \frac{6}{7} + \frac{15}{16}

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

\frac{6}{7} + \frac{15}{16}

\frac{6 \times 16 + 15 \times 7}{7 \times 16}

29 + \frac{6 \times 16 + 15 \times 7}{7 \times 16}

ⓘMultiplications are done before additions and subtractions:

6 \times 16

(10 + 6) \times 6

10 \times 6 + 6 \times 6

60 + 36

96

‖

15 \times 7

(10 + 5) \times 7

10 \times 7 + 5 \times 7

70 + 35

105

‖

7 \times 16

(10 + 6) \times 7

10 \times 7 + 6 \times 7

70 + 42

112

29 + \frac{96 + 105}{112}

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

96 + 105

201

29 + \frac{201}{112}

ⓘThe fraction

\frac{201}{112}

is greater than 1: add its integer part

1

to the whole part:

\frac{201}{112} + 29

30 + \frac{89}{112}

▶Result:

30

\frac{89}{112}

The approximate value of:

30 + \frac{89}{112}

is:

30 + \approx 0.7946

▷

\approx 30.7946