8 9/10 + 18 2/15

⚠ 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 calculate:

8

+ \frac{9}{10}

+ 18

+ \frac{2}{15}

ⓘ Start from

8

and move forward

18

on the number line:

8 + 18

26

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

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose

30

, the least common multiple of

10

and

15

. Multiplying the numerator and the denominator by the same number does not change the fraction:

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

\frac{9 \times 3}{10 \times 3} + \frac{2 \times 2}{15 \times 2}

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

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

ⓘ Perform multiplications before additions and subtractions:

9 \times 3

27

2 \times 2

4

ⅰ

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}

▶Result:

27

\frac{1}{30}

ⓘ Since the fraction

\frac{31}{30}

exceeds 1, take

1

out of it and add it to the whole part:

26 + \frac{31}{30}

26 + \frac{30 + 1}{30}

26 + \frac{30}{30} + \frac{1}{30}

26 + 1 + \frac{1}{30}

27 + \frac{1}{30}

The numeric value of:

27 + \frac{1}{30}

equals:

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

▷

\approx 27.0333

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