explain 2 11/15 + 20 3/7 — step-by-step solution

⚠ 2 11/15 is read as the mixed number 2 + 11/15

⚠ 20 3/7 is read as the mixed number 20 + 3/7

Let's evaluate:

2

+ \frac{11}{15}

+ 20

+ \frac{3}{7}

ℹ

2 + 20

22

22 + \frac{11}{15} + \frac{3}{7}

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

\frac{11}{15} + \frac{3}{7}

\frac{11 \times 7 + 3 \times 15}{15 \times 7}

22 + \frac{11 \times 7 + 3 \times 15}{15 \times 7}

ⓘMultiplications are done before additions and subtractions:

11 \times 7

(10 + 1) \times 7

10 \times 7 + 7

70 + 7

77

‖

3 \times 15

(10 + 5) \times 3

10 \times 3 + 5 \times 3

30 + 15

45

‖

15 \times 7

(10 + 5) \times 7

10 \times 7 + 5 \times 7

70 + 35

105

22 + \frac{77 + 45}{105}

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

77 + 45

122

22 + \frac{122}{105}

ⓘThe fraction

\frac{122}{105}

is greater than 1: add its integer part

1

to the whole part:

\frac{122}{105} + 22

23 + \frac{17}{105}

▶Result:

23

\frac{17}{105}

The approximate value of:

23 + \frac{17}{105}

is:

23 + \approx 0.1619

▷

\approx 23.1619