explain 13 1/7 + 16 1/3 + 20 4/7 — step-by-step solution

⚠ 13 1/7 is read as the mixed number 13 + 1/7

⚠ 16 1/3 is read as the mixed number 16 + 1/3

Let's calculate:

13

+ \frac{1}{7}

+ 16

+ \frac{1}{3}

+ 20

+ \frac{4}{7}

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

\frac{1}{7} + \frac{4}{7}

\frac{1 + 4}{7}

ℹ

13 + 16

29

29

+ \frac{1 + 4}{7}

+ \frac{1}{3}

+ 20

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

1 + 4

5

ℹ

29 + 20

49

49 + \frac{5}{7} + \frac{1}{3}

ℹ

\frac{5}{7} + \frac{1}{3}

\frac{5 \times 3 + 1 \times 7}{7 \times 3}

49 + \frac{5 \times 3 + 1 \times 7}{7 \times 3}

ⓘMultiplications are done before additions and subtractions:

5 \times 3

15

ℹ

1 \times 7

7

‖

7 \times 3

21

49 + \frac{15 + 7}{21}

ℹ

15 + 7

22

49 + \frac{22}{21}

ⓘThe fraction

\frac{22}{21}

is greater than 1: add its integer part

1

to the whole part:

\frac{22}{21} + 49

50 + \frac{1}{21}

▶Result:

50

\frac{1}{21}

The numeric value of:

50 + \frac{1}{21}

equals:

50 + \approx 4.7619 \times 10^{- 2}

▷

\approx 50.0476