22 4/5 + 23 13/16

⚠ 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 calculate:

22

+ \frac{4}{5}

+ 23

+ \frac{13}{16}

ⓘ Start from

22

and move forward

23

on the number line:

22 + 23

45

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

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

80

, the least common multiple of

5

and

16

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

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

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

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

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

ⓘ Perform multiplications before additions and subtractions:

4 \times 16

4 \times (10 + 6)

4 \times 10 + 4 \times 6

40 + 24

64

13 \times 5

(10 + 3) \times 5

10 \times 5 + 3 \times 5

50 + 15

65

ⅰ

5 \times 16

5 \times (10 + 6)

5 \times 10 + 5 \times 6

50 + 30

80

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

ⓘ Calculate the numerator and denominator before dividing:

64 + 65

129

45 + \frac{129}{80}

▶Result:

46

\frac{49}{80}

ⓘ The fraction

\frac{129}{80}

is greater than 1: extract

1

from it and add it to the whole part:

45 + \frac{129}{80}

45 + \frac{80 + 49}{80}

45 + \frac{80}{80} + \frac{49}{80}

45 + 1 + \frac{49}{80}

46 + \frac{49}{80}

The numeric value of:

46 + \frac{49}{80}

is:

46 + 0.6125

▷

46.6125

100% free