explain 8 9/10 + 18 2/15 — step-by-step solution

⚠ 8 9/10 is read as the mixed number 8 + 9/10

⚠ 18 2/15 is read as the mixed number 18 + 2/15

Let's evaluate:

8

+ \frac{9}{10}

+ 18

+ \frac{2}{15}

ℹ

8 + 18

26

26 + \frac{9}{10} + \frac{2}{15}

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

\frac{9}{10} + \frac{2}{15}

\frac{9 \times 3 + 2 \times 2}{10 \times 3}

26 + \frac{9 \times 3 + 2 \times 2}{10 \times 3}

ⓘMultiplications are done before additions and subtractions:

9 \times 3

27

ℹ

2 \times 2

4

‖

10 \times 3

30

26 + \frac{27 + 4}{30}

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

27 + 4

31

26 + \frac{31}{30}

ⓘThe fraction

\frac{31}{30}

is greater than 1: add its integer part

1

to the whole part:

\frac{31}{30} + 26

27 + \frac{1}{30}

▶Result:

27

\frac{1}{30}

The approximate value of:

27 + \frac{1}{30}

equals:

27 + \approx 3.3333 \times 10^{- 2}

▷

\approx 27.0333