explain 7 4/5 + 10 15/16 + 3 4/5 — step-by-step solution

⚠ 7 4/5 is read as the mixed number 7 + 4/5

⚠ 10 15/16 is read as the mixed number 10 + 15/16

Let's calculate:

7

+ \frac{4}{5}

+ 10

+ \frac{15}{16}

+ 3

+ \frac{4}{5}

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

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

\frac{4 + 4}{5}

ℹ

7 + 10

17

17

+ \frac{4 + 4}{5}

+ \frac{15}{16}

+ 3

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

4 + 4

8

ℹ

17 + 3

20

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

ℹ

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

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

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

ⓘMultiplications are done before additions and subtractions:

8 \times 16

(10 + 6) \times 8

10 \times 8 + 6 \times 8

80 + 48

128

‖

15 \times 5

(10 + 5) \times 5

10 \times 5 + 5 \times 5

50 + 25

75

‖

5 \times 16

(10 + 6) \times 5

10 \times 5 + 6 \times 5

50 + 30

80

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

ℹ

128 + 75

203

20 + \frac{203}{80}

ⓘThe fraction

\frac{203}{80}

is greater than 1: add its integer part

2

to the whole part:

\frac{203}{80} + 20

22 + \frac{43}{80}

▶Result:

22

\frac{43}{80}

The numeric value of:

22 + \frac{43}{80}

is:

22 + 0.5375

▷

22.5375