explain 15 7/9 + 16 5/9 + 4 3/20 — step-by-step solution

⚠ 15 7/9 is read as the mixed number 15 + 7/9

⚠ 16 5/9 is read as the mixed number 16 + 5/9

Let's evaluate:

15

+ \frac{7}{9}

+ 16

+ \frac{5}{9}

+ 4

+ \frac{3}{20}

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

\frac{7}{9} + \frac{5}{9}

\frac{7 + 5}{9}

ℹ

15 + 16

31

31

+ \frac{7 + 5}{9}

+ 4

+ \frac{3}{20}

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

7 + 5

12

ℹ

31 + 4

35

35 + \frac{12}{9} + \frac{3}{20}

ℹ

\frac{12}{9} + \frac{3}{20}

\frac{12 \times 20 + 3 \times 9}{9 \times 20}

35 + \frac{12 \times 20 + 3 \times 9}{9 \times 20}

ⓘMultiplications are done before additions and subtractions:

12 \times 20

20 \times (10 + 2)

20 \times 10 + 20 \times 2

200 + 40

240

ℹ

3 \times 9

27

‖

9 \times 20

180

35 + \frac{240 + 27}{180}

ℹ

240 + 27

267

35 + \frac{267}{180}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

3

\frac{267}{180}

\frac{89 \times 3}{60 \times 3}

\frac{89}{60}

35 + \frac{89}{60}

ⓘThe fraction

\frac{89}{60}

is greater than 1: add its integer part

1

to the whole part:

\frac{89}{60} + 35

36 + \frac{29}{60}

▶Result:

36

\frac{29}{60}

The numeric value of:

36 + \frac{29}{60}

equals:

36 + \approx 0.4833

▷

\approx 36.4833