explain 9 6/7 + 14 14/15 — step-by-step solution

⚠ 9 6/7 is read as the mixed number 9 + 6/7

⚠ 14 14/15 is read as the mixed number 14 + 14/15

Let's calculate:

9

+ \frac{6}{7}

+ 14

+ \frac{14}{15}

ℹ

9 + 14

23

23 + \frac{6}{7} + \frac{14}{15}

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

\frac{6}{7} + \frac{14}{15}

\frac{6 \times 15 + 14 \times 7}{7 \times 15}

23 + \frac{6 \times 15 + 14 \times 7}{7 \times 15}

ⓘMultiplications are done before additions and subtractions:

6 \times 15

(10 + 5) \times 6

10 \times 6 + 5 \times 6

60 + 30

90

‖

14 \times 7

(10 + 4) \times 7

10 \times 7 + 4 \times 7

70 + 28

98

‖

7 \times 15

(10 + 5) \times 7

10 \times 7 + 5 \times 7

70 + 35

105

23 + \frac{90 + 98}{105}

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

90 + 98

188

23 + \frac{188}{105}

ⓘThe fraction

\frac{188}{105}

is greater than 1: add its integer part

1

to the whole part:

\frac{188}{105} + 23

24 + \frac{83}{105}

▶Result:

24

\frac{83}{105}

The approximate value of:

24 + \frac{83}{105}

equals:

24 + \approx 0.7905

▷

\approx 24.7905