10 1/7 + 20 2/7 + 4 4/5

⚠ 10 1/7 is read as the mixed number 10 + 1/7■20 2/7 is read as the mixed number 20 + 2/7■4 4/5 is read as the mixed number 4 + 4/5

Let's calculate:

10

+ \frac{1}{7}

+ 20

+ \frac{2}{7}

+ 4

+ \frac{4}{5}

ⓘ Start from

10

and move forward

20

on the number line:

10 + 20

30

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

\frac{1}{7} + \frac{2}{7}

\frac{1 + 2}{7}

30

+ \frac{1 + 2}{7}

+ 4

+ \frac{4}{5}

ⓘ Calculate the numerator and denominator before dividing:

1 + 2

3

30

+ \frac{3}{7}

+ 4

+ \frac{4}{5}

ⓘ Start from

30

and move forward

4

on the number line:

30 + 4

34

34 + \frac{3}{7} + \frac{4}{5}

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

35

, the least common multiple of

7

and

5

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

\frac{3}{7} + \frac{4}{5}

\frac{3 \times 5}{7 \times 5} + \frac{4 \times 7}{5 \times 7}

\frac{3 \times 5 + 4 \times 7}{7 \times 5}

34 + \frac{3 \times 5 + 4 \times 7}{7 \times 5}

ⓘ Perform multiplications before additions and subtractions:

3 \times 5

15

4 \times 7

28

ⅰ

7 \times 5

35

34 + \frac{15 + 28}{35}

ⓘ Calculate the numerator and denominator before dividing:

15 + 28

43

34 + \frac{43}{35}

▶Result:

35

\frac{8}{35}

ⓘ Since the fraction

\frac{43}{35}

exceeds 1, take

1

out of it and add it to the whole part:

34 + \frac{43}{35}

34 + \frac{35 + 8}{35}

34 + \frac{35}{35} + \frac{8}{35}

34 + 1 + \frac{8}{35}

35 + \frac{8}{35}

The numeric value of:

35 + \frac{8}{35}

equals:

35 + \approx 0.2286

▷

\approx 35.2286

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