explain 17 1/4 + 9 8/15 + 21 1/8 — step-by-step solution

⚠ 17 1/4 is read as the mixed number 17 + 1/4

⚠ 9 8/15 is read as the mixed number 9 + 8/15

Let's calculate:

17

+ \frac{1}{4}

+ 9

+ \frac{8}{15}

+ 21

+ \frac{1}{8}

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

\frac{1}{4} + \frac{1}{8}

\frac{2 + 1}{8}

ℹ

17 + 9

26

26

+ \frac{2 + 1}{8}

+ \frac{8}{15}

+ 21

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

2 + 1

3

ℹ

26 + 21

47

47 + \frac{3}{8} + \frac{8}{15}

ℹ

\frac{3}{8} + \frac{8}{15}

\frac{3 \times 15 + 8 \times 8}{8 \times 15}

47 + \frac{3 \times 15 + 8 \times 8}{8 \times 15}

ⓘMultiplications are done before additions and subtractions:

3 \times 15

(10 + 5) \times 3

10 \times 3 + 5 \times 3

30 + 15

45

‖

8 \times 15

(10 + 5) \times 8

10 \times 8 + 5 \times 8

80 + 40

120

ℹ

8 \times 8

64

47 + \frac{45 + 64}{120}

ℹ

45 + 64

109

47 + \frac{109}{120}

▶Result:

47

\frac{109}{120}

The numeric value of:

47 + \frac{109}{120}

is:

47 + \approx 0.9083

▷

\approx 47.9083