explain 24 5/8 + 23 5/8 + 13 6/7 — step-by-step solution

⚠ 24 5/8 is read as the mixed number 24 + 5/8

⚠ 23 5/8 is read as the mixed number 23 + 5/8

Let's calculate:

24

+ \frac{5}{8}

+ 23

+ \frac{5}{8}

+ 13

+ \frac{6}{7}

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

\frac{5}{8} + \frac{5}{8}

\frac{5 + 5}{8}

ℹ

24 + 23

47

47

+ \frac{5 + 5}{8}

+ 13

+ \frac{6}{7}

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

5 + 5

10

ℹ

47 + 13

60

60 + \frac{10}{8} + \frac{6}{7}

ℹ

\frac{10}{8} + \frac{6}{7}

\frac{10 \times 7 + 6 \times 8}{8 \times 7}

60 + \frac{10 \times 7 + 6 \times 8}{8 \times 7}

ⓘMultiplications are done before additions and subtractions:

10 \times 7

70

ℹ

6 \times 8

48

‖

8 \times 7

56

60 + \frac{70 + 48}{56}

ℹ

70 + 48

118

60 + \frac{118}{56}

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

2

\frac{118}{56}

\frac{59 \times 2}{28 \times 2}

\frac{59}{28}

60 + \frac{59}{28}

ⓘThe fraction

\frac{59}{28}

is greater than 1: add its integer part

2

to the whole part:

\frac{59}{28} + 60

62 + \frac{3}{28}

▶Result:

62

\frac{3}{28}

The approximate value of:

62 + \frac{3}{28}

is:

62 + \approx 0.1071

▷

\approx 62.1071