9 6/7 + 14 14/15

⚠ 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 evaluate:

9

+ \frac{6}{7}

+ 14

+ \frac{14}{15}

ⓘ Start from

9

and move forward

14

on the number line:

9 + 14

23

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

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose

105

, the least common multiple of

7

and

15

. Multiplying the numerator and the denominator by the same number does not change the fraction:

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

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

\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

6 \times (10 + 5)

6 \times 10 + 6 \times 5

60 + 30

90

14 \times 7

(10 + 4) \times 7

10 \times 7 + 4 \times 7

70 + 28

98

ⅰ

7 \times 15

7 \times (10 + 5)

7 \times 10 + 7 \times 5

70 + 35

105

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

ⓘ Calculate the numerator and denominator before dividing:

90 + 98

188

23 + \frac{188}{105}

▶Result:

24

\frac{83}{105}

ⓘ The fraction

\frac{188}{105}

is greater than 1: extract

1

from it and add it to the whole part:

23 + \frac{188}{105}

23 + \frac{105 + 83}{105}

23 + \frac{105}{105} + \frac{83}{105}

23 + 1 + \frac{83}{105}

24 + \frac{83}{105}

The numeric value of:

24 + \frac{83}{105}

equals:

24 + \approx 0.7905

▷

\approx 24.7905

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