explain 18 2/7 + 17 13/15 — step-by-step solution

⚠ 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}

ℹ

18 + 17

35

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

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

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

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

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

ⓘMultiplications are done before additions and subtractions:

2 \times 15

(10 + 5) \times 2

10 \times 2 + 5 \times 2

20 + 10

30

‖

13 \times 7

(10 + 3) \times 7

10 \times 7 + 3 \times 7

70 + 21

91

‖

7 \times 15

(10 + 5) \times 7

10 \times 7 + 5 \times 7

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}

ⓘThe fraction

\frac{121}{105}

is greater than 1: add its integer part

1

to the whole part:

\frac{121}{105} + 35

36 + \frac{16}{105}

▶Result:

36

\frac{16}{105}

The approximate value of:

36 + \frac{16}{105}

equals:

36 + \approx 0.1524

▷

\approx 36.1524