explain 4 9/10 + 23 5/8 — step-by-step solution

⚠ 4 9/10 is read as the mixed number 4 + 9/10

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

Let's evaluate:

4

+ \frac{9}{10}

+ 23

+ \frac{5}{8}

ℹ

4 + 23

27

27 + \frac{9}{10} + \frac{5}{8}

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

\frac{9}{10} + \frac{5}{8}

\frac{9 \times 4 + 5 \times 5}{10 \times 4}

27 + \frac{9 \times 4 + 5 \times 5}{10 \times 4}

ⓘMultiplications are done before additions and subtractions:

9 \times 4

36

ℹ

5 \times 5

25

‖

10 \times 4

40

27 + \frac{36 + 25}{40}

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

36 + 25

61

27 + \frac{61}{40}

ⓘThe fraction

\frac{61}{40}

is greater than 1: add its integer part

1

to the whole part:

\frac{61}{40} + 27

28 + \frac{21}{40}

▶Result:

28

\frac{21}{40}

The approximate value of:

28 + \frac{21}{40}

equals:

28 + 0.525

▷

28.525