explain 10 5/6 + 18 19/20 — step-by-step solution

⚠ 10 5/6 is read as the mixed number 10 + 5/6

⚠ 18 19/20 is read as the mixed number 18 + 19/20

Let's evaluate:

10

+ \frac{5}{6}

+ 18

+ \frac{19}{20}

ℹ

10 + 18

28

28 + \frac{5}{6} + \frac{19}{20}

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

\frac{5}{6} + \frac{19}{20}

\frac{5 \times 10 + 19 \times 3}{6 \times 10}

28 + \frac{5 \times 10 + 19 \times 3}{6 \times 10}

ⓘMultiplications are done before additions and subtractions:

5 \times 10

50

‖

19 \times 3

(10 + 9) \times 3

10 \times 3 + 9 \times 3

30 + 27

57

ℹ

6 \times 10

60

28 + \frac{50 + 57}{60}

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

50 + 57

107

28 + \frac{107}{60}

ⓘThe fraction

\frac{107}{60}

is greater than 1: add its integer part

1

to the whole part:

\frac{107}{60} + 28

29 + \frac{47}{60}

▶Result:

29

\frac{47}{60}

The approximate value of:

29 + \frac{47}{60}

equals:

29 + \approx 0.7833

▷

\approx 29.7833