1 1/8 + 17 1/2 + 20 6/7

⚠ 1 1/8 is read as the mixed number 1 + 1/8■17 1/2 is read as the mixed number 17 + 1/2■20 6/7 is read as the mixed number 20 + 6/7

Let's calculate:

1

+ \frac{1}{8}

+ 17

+ \frac{1}{2}

+ 20

+ \frac{6}{7}

ⓘ Start from

1

and move forward

17

on the number line:

1 + 17

18

■Add fractions by using a common denominator and then adding their numerators:

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

\frac{1 + 4}{8}

18

+ \frac{1 + 4}{8}

+ 20

+ \frac{6}{7}

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

1 + 4

5

18

+ \frac{5}{8}

+ 20

+ \frac{6}{7}

ⓘ Start from

18

and move forward

20

on the number line:

18 + 20

38

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

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

56

, the least common multiple of

8

and

7

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

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

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

\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

6 \times 8

48

ⅰ

8 \times 7

56

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

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

35 + 48

83

38 + \frac{83}{56}

▶Result:

39

\frac{27}{56}

ⓘ Since the fraction

\frac{83}{56}

exceeds 1, take

1

out of it and add it to the whole part:

38 + \frac{83}{56}

38 + \frac{56 + 27}{56}

38 + \frac{56}{56} + \frac{27}{56}

38 + 1 + \frac{27}{56}

39 + \frac{27}{56}

The numeric value of:

39 + \frac{27}{56}

is:

39 + \approx 0.4821

▷

\approx 39.4821

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