13 1/7 + 16 1/3 + 20 4/7

⚠ 13 1/7 is read as the mixed number 13 + 1/7■16 1/3 is read as the mixed number 16 + 1/3■20 4/7 is read as the mixed number 20 + 4/7

Let's calculate:

13

+ \frac{1}{7}

+ 16

+ \frac{1}{3}

+ 20

+ \frac{4}{7}

ⓘ Start from

13

and move forward

16

on the number line:

13 + 16

29

■Add fractions by using a common denominator and then adding their numerators:

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

\frac{1 + 4}{7}

29

+ \frac{1 + 4}{7}

+ \frac{1}{3}

+ 20

ⓘ Calculate the numerator and denominator before dividing:

1 + 4

5

29

+ \frac{5}{7}

+ \frac{1}{3}

+ 20

ⓘ Start from

29

and move forward

20

on the number line:

29 + 20

49

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

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

21

, the least common multiple of

7

and

3

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

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

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

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

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

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

ⓘ Perform multiplications before additions and subtractions:

5 \times 3

15

ⅰ

7 \times 3

21

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

ⓘ Calculate the numerator and denominator before dividing:

15 + 7

22

49 + \frac{22}{21}

▶Result:

50

\frac{1}{21}

ⓘ The fraction

\frac{22}{21}

is greater than 1: extract

1

from it and add it to the whole part:

49 + \frac{22}{21}

49 + \frac{21 + 1}{21}

49 + \frac{21}{21} + \frac{1}{21}

49 + 1 + \frac{1}{21}

50 + \frac{1}{21}

The numeric value of:

50 + \frac{1}{21}

is:

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

▷

\approx 50.0476

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