22 7/8 + 18 4/15

⚠ 22 7/8 is read as the mixed number 22 + 7/8■18 4/15 is read as the mixed number 18 + 4/15

Let's evaluate:

22

+ \frac{7}{8}

+ 18

+ \frac{4}{15}

ⓘ Start from

22

and move forward

18

on the number line:

22 + 18

40

40 + \frac{7}{8} + \frac{4}{15}

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

120

, the least common multiple of

8

and

15

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

\frac{7}{8} + \frac{4}{15}

\frac{7 \times 15}{8 \times 15} + \frac{4 \times 8}{15 \times 8}

\frac{7 \times 15 + 4 \times 8}{8 \times 15}

40 + \frac{7 \times 15 + 4 \times 8}{8 \times 15}

ⓘ Perform multiplications before additions and subtractions:

7 \times 15

7 \times (10 + 5)

7 \times 10 + 7 \times 5

70 + 35

105

4 \times 8

32

ⅰ

8 \times 15

8 \times (10 + 5)

8 \times 10 + 8 \times 5

80 + 40

120

40 + \frac{105 + 32}{120}

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

105 + 32

137

40 + \frac{137}{120}

▶Result:

41

\frac{17}{120}

ⓘ Since the fraction

\frac{137}{120}

exceeds 1, take

1

out of it and add it to the whole part:

40 + \frac{137}{120}

40 + \frac{120 + 17}{120}

40 + \frac{120}{120} + \frac{17}{120}

40 + 1 + \frac{17}{120}

41 + \frac{17}{120}

The numeric value of:

41 + \frac{17}{120}

equals:

41 + \approx 0.1417

▷

\approx 41.1417

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