explain 22 4/5 + 23 13/16 — step-by-step solution

⚠ 22 4/5 is read as the mixed number 22 + 4/5

⚠ 23 13/16 is read as the mixed number 23 + 13/16

Let's evaluate:

22

+ \frac{4}{5}

+ 23

+ \frac{13}{16}

ℹ

22 + 23

45

45 + \frac{4}{5} + \frac{13}{16}

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

\frac{4}{5} + \frac{13}{16}

\frac{4 \times 16 + 13 \times 5}{5 \times 16}

45 + \frac{4 \times 16 + 13 \times 5}{5 \times 16}

ⓘMultiplications are done before additions and subtractions:

4 \times 16

(10 + 6) \times 4

10 \times 4 + 6 \times 4

40 + 24

64

‖

13 \times 5

(10 + 3) \times 5

10 \times 5 + 3 \times 5

50 + 15

65

‖

5 \times 16

(10 + 6) \times 5

10 \times 5 + 6 \times 5

50 + 30

80

45 + \frac{64 + 65}{80}

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

64 + 65

129

45 + \frac{129}{80}

ⓘThe fraction

\frac{129}{80}

is greater than 1: add its integer part

1

to the whole part:

\frac{129}{80} + 45

46 + \frac{49}{80}

▶Result:

46

\frac{49}{80}

The numeric value of:

46 + \frac{49}{80}

equals:

46 + 0.6125

▷

46.6125