explain 22 2/7 + 8 2/15 + 18 5/7 — step-by-step solution

⚠ 22 2/7 is read as the mixed number 22 + 2/7

⚠ 8 2/15 is read as the mixed number 8 + 2/15

Let's calculate:

22

+ \frac{2}{7}

+ 8

+ \frac{2}{15}

+ 18

+ \frac{5}{7}

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

\frac{2}{7} + \frac{5}{7}

\frac{2 + 5}{7}

ℹ

22 + 8

30

30

+ \frac{2 + 5}{7}

+ \frac{2}{15}

+ 18

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

2 + 5

7

ℹ

30 + 18

48

48 + \frac{7}{7} + \frac{2}{15}

ℹ

\frac{7}{7} + \frac{2}{15}

\frac{7 \times 15 + 2 \times 7}{7 \times 15}

48 + \frac{7 \times 15 + 2 \times 7}{7 \times 15}

ⓘMultiplications are done before additions and subtractions:

7 \times 15

(10 + 5) \times 7

10 \times 7 + 5 \times 7

70 + 35

105

ℹ

2 \times 7

14

‖

7 \times 15

105

48 + \frac{105 + 14}{105}

ℹ

105 + 14

119

48 + \frac{119}{105}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

7

\frac{119}{105}

\frac{17 \times 7}{15 \times 7}

\frac{17}{15}

48 + \frac{17}{15}

ⓘThe fraction

\frac{17}{15}

is greater than 1: add its integer part

1

to the whole part:

\frac{17}{15} + 48

49 + \frac{2}{15}

▶Result:

49

\frac{2}{15}

The approximate value of:

49 + \frac{2}{15}

equals:

49 + \approx 0.1333

▷

\approx 49.1333