explain 10 1/7 + 20 2/7 + 4 4/5 — step-by-step solution

⚠ 10 1/7 is read as the mixed number 10 + 1/7

⚠ 20 2/7 is read as the mixed number 20 + 2/7

Let's calculate:

10

+ \frac{1}{7}

+ 20

+ \frac{2}{7}

+ 4

+ \frac{4}{5}

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

\frac{1}{7} + \frac{2}{7}

\frac{1 + 2}{7}

ℹ

10 + 20

30

30

+ \frac{1 + 2}{7}

+ 4

+ \frac{4}{5}

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

1 + 2

3

ℹ

30 + 4

34

34 + \frac{3}{7} + \frac{4}{5}

ℹ

\frac{3}{7} + \frac{4}{5}

\frac{3 \times 5 + 4 \times 7}{7 \times 5}

34 + \frac{3 \times 5 + 4 \times 7}{7 \times 5}

ⓘMultiplications are done before additions and subtractions:

3 \times 5

15

ℹ

4 \times 7

28

‖

7 \times 5

35

34 + \frac{15 + 28}{35}

ℹ

15 + 28

43

34 + \frac{43}{35}

ⓘThe fraction

\frac{43}{35}

is greater than 1: add its integer part

1

to the whole part:

\frac{43}{35} + 34

35 + \frac{8}{35}

▶Result:

35

\frac{8}{35}

The numeric value of:

35 + \frac{8}{35}

equals:

35 + \approx 0.2286

▷

\approx 35.2286