explain 5 1/7 + 9 11/15 — step-by-step solution

⚠ 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}

ℹ

5 + 9

14

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

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

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

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

14 + \frac{1 \times 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

‖

7 \times 15

(10 + 5) \times 7

10 \times 7 + 5 \times 7

70 + 35

105

ℹ

1 \times 15

15

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 approximate value of:

14 + \frac{92}{105}

is:

14 + \approx 0.8762

▷

\approx 14.8762