18 2/7 + 17 13/15

⚠ 18 2/7 is read as the mixed number 18 + 2/7■17 13/15 is read as the mixed number 17 + 13/15

Let's calculate:

18

+ \frac{2}{7}

+ 17

+ \frac{13}{15}

ⓘ Start from

18

and move forward

17

on the number line:

18 + 17

35

35 + \frac{2}{7} + \frac{13}{15}

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

105

, the least common multiple of

7

and

15

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

\frac{2}{7} + \frac{13}{15}

\frac{2 \times 15}{7 \times 15} + \frac{13 \times 7}{15 \times 7}

\frac{2 \times 15 + 13 \times 7}{7 \times 15}

35 + \frac{2 \times 15 + 13 \times 7}{7 \times 15}

ⓘ Perform multiplications before additions and subtractions:

2 \times 15

2 \times (10 + 5)

2 \times 10 + 2 \times 5

20 + 10

30

13 \times 7

(10 + 3) \times 7

10 \times 7 + 3 \times 7

70 + 21

91

ⅰ

7 \times 15

7 \times (10 + 5)

7 \times 10 + 7 \times 5

70 + 35

105

35 + \frac{30 + 91}{105}

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

30 + 91

121

35 + \frac{121}{105}

▶Result:

36

\frac{16}{105}

ⓘ Since the fraction

\frac{121}{105}

exceeds 1, take

1

out of it and add it to the whole part:

35 + \frac{121}{105}

35 + \frac{105 + 16}{105}

35 + \frac{105}{105} + \frac{16}{105}

35 + 1 + \frac{16}{105}

36 + \frac{16}{105}

The numeric value of:

36 + \frac{16}{105}

equals:

36 + \approx 0.1524

▷

\approx 36.1524

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