5 1/7 + 9 11/15

⚠ 5 1/7 is read as the mixed number 5 + 1/7■9 11/15 is read as the mixed number 9 + 11/15

Let's calculate:

5

+ \frac{1}{7}

+ 9

+ \frac{11}{15}

ⓘ Start from

5

and move forward

9

on the number line:

5 + 9

14

14 + \frac{1}{7} + \frac{11}{15}

ⓘ To add fractions, put them over the same denominator, then add the 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{1}{7} + \frac{11}{15}

\frac{1 \times 15}{7 \times 15} + \frac{11 \times 7}{15 \times 7}

\frac{1 \times 15 + 11 \times 7}{7 \times 15}

\frac{15 + 11 \times 7}{7 \times 15}

14 + \frac{15 + 11 \times 7}{7 \times 15}

ⓘ Multiplications are done before additions and subtractions:

11 \times 7

(10 + 1) \times 7

10 \times 7 + 7

70 + 7

77

ⅰ

7 \times 15

7 \times (10 + 5)

7 \times 10 + 7 \times 5

70 + 35

105

14 + \frac{15 + 77}{105}

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

15 + 77

92

14 + \frac{92}{105}

▶Result:

14

\frac{92}{105}

The numeric value of:

14 + \frac{92}{105}

is:

14 + \approx 0.8762

▷

\approx 14.8762

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