7 4/5 + 10 15/16 + 3 4/5

⚠ 7 4/5 is read as the mixed number 7 + 4/5■10 15/16 is read as the mixed number 10 + 15/16■3 4/5 is read as the mixed number 3 + 4/5

Let's evaluate:

7

+ \frac{4}{5}

+ 10

+ \frac{15}{16}

+ 3

+ \frac{4}{5}

ⓘ Start from

7

and move forward

10

on the number line:

7 + 10

17

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

\frac{4}{5} + \frac{4}{5}

\frac{4 + 4}{5}

17

+ \frac{4 + 4}{5}

+ \frac{15}{16}

+ 3

ⓘ Calculate the numerator and denominator before dividing:

4 + 4

8

17

+ \frac{8}{5}

+ \frac{15}{16}

+ 3

ⓘ Start from

17

and move forward

3

on the number line:

17 + 3

20

20 + \frac{8}{5} + \frac{15}{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{8}{5} + \frac{15}{16}

\frac{8 \times 16}{5 \times 16} + \frac{15 \times 5}{16 \times 5}

\frac{8 \times 16 + 15 \times 5}{5 \times 16}

20 + \frac{8 \times 16 + 15 \times 5}{5 \times 16}

ⓘ Perform multiplications before additions and subtractions:

8 \times 16

8 \times (10 + 6)

8 \times 10 + 8 \times 6

80 + 48

128

15 \times 5

(10 + 5) \times 5

10 \times 5 + 5 \times 5

50 + 25

75

ⅰ

5 \times 16

5 \times (10 + 6)

5 \times 10 + 5 \times 6

50 + 30

80

20 + \frac{128 + 75}{80}

ⓘ Calculate the numerator and denominator before dividing:

128 + 75

203

20 + \frac{203}{80}

▶Result:

22

\frac{43}{80}

ⓘ Since the fraction

\frac{203}{80}

exceeds 1, take

2

out of it and add it to the whole part:

20 + \frac{203}{80}

20 + \frac{160 + 43}{80}

20 + \frac{160}{80} + \frac{43}{80}

20 + 2 + \frac{43}{80}

22 + \frac{43}{80}

The numeric value of:

22 + \frac{43}{80}

equals:

22 + 0.5375

▷

22.5375

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