4 9/10 + 23 5/8

⚠ 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}

ⓘ Start from

4

and move forward

23

on the number line:

4 + 23

27

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

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose

40

, the least common multiple of

10

and

8

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

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

\frac{9 \times 4}{10 \times 4} + \frac{5 \times 5}{8 \times 5}

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

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

ⓘ Perform multiplications before additions and subtractions:

9 \times 4

36

5 \times 5

25

ⅰ

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}

▶Result:

28

\frac{21}{40}

ⓘ Since the fraction

\frac{61}{40}

exceeds 1, take

1

out of it and add it to the whole part:

27 + \frac{61}{40}

27 + \frac{40 + 21}{40}

27 + \frac{40}{40} + \frac{21}{40}

27 + 1 + \frac{21}{40}

28 + \frac{21}{40}

The numeric value of:

28 + \frac{21}{40}

is:

28 + 0.525

▷

28.525

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