explain 1 1/8 + 17 1/2 + 20 6/7 — step-by-step solution

⚠ 1 1/8 is read as the mixed number 1 + 1/8

⚠ 17 1/2 is read as the mixed number 17 + 1/2

Let's calculate:

1

+ \frac{1}{8}

+ 17

+ \frac{1}{2}

+ 20

+ \frac{6}{7}

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

\frac{1}{8} + \frac{1}{2}

\frac{1 + 4}{8}

ℹ

1 + 17

18

18

+ \frac{1 + 4}{8}

+ 20

+ \frac{6}{7}

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

1 + 4

5

ℹ

18 + 20

38

38 + \frac{5}{8} + \frac{6}{7}

ℹ

\frac{5}{8} + \frac{6}{7}

\frac{5 \times 7 + 6 \times 8}{8 \times 7}

38 + \frac{5 \times 7 + 6 \times 8}{8 \times 7}

ⓘMultiplications are done before additions and subtractions:

5 \times 7

35

ℹ

6 \times 8

48

‖

8 \times 7

56

38 + \frac{35 + 48}{56}

ℹ

35 + 48

83

38 + \frac{83}{56}

ⓘThe fraction

\frac{83}{56}

is greater than 1: add its integer part

1

to the whole part:

\frac{83}{56} + 38

39 + \frac{27}{56}

▶Result:

39

\frac{27}{56}

The approximate value of:

39 + \frac{27}{56}

equals:

39 + \approx 0.4821

▷

\approx 39.4821