explain 10 1/10 + 8 3/7 — step-by-step solution

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

⚠ 8 3/7 is read as the mixed number 8 + 3/7

Let's calculate:

10

+ \frac{1}{10}

+ 8

+ \frac{3}{7}

ℹ

10 + 8

18

18 + \frac{1}{10} + \frac{3}{7}

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

\frac{1}{10} + \frac{3}{7}

\frac{1 \times 7 + 3 \times 10}{10 \times 7}

18 + \frac{1 \times 7 + 3 \times 10}{10 \times 7}

ⓘMultiplications are done before additions and subtractions:

3 \times 10

30

ℹ

1 \times 7

7

‖

10 \times 7

70

18 + \frac{7 + 30}{70}

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

7 + 30

37

18 + \frac{37}{70}

▶Result:

18

\frac{37}{70}

The approximate value of:

18 + \frac{37}{70}

is:

18 + \approx 0.5286

▷

\approx 18.5286