21 7/20 + 1 6/7

⚠ 21 7/20 is read as the mixed number 21 + 7/20■1 6/7 is read as the mixed number 1 + 6/7

Let's calculate:

21

+ \frac{7}{20}

+ 1

+ \frac{6}{7}

ⓘ Start from

21

and move forward

1

on the number line:

21 + 1

22

22 + \frac{7}{20} + \frac{6}{7}

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose

140

, the least common multiple of

20

and

7

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

\frac{7}{20} + \frac{6}{7}

\frac{7 \times 7}{20 \times 7} + \frac{6 \times 20}{7 \times 20}

\frac{7 \times 7 + 6 \times 20}{20 \times 7}

22 + \frac{7 \times 7 + 6 \times 20}{20 \times 7}

ⓘ Perform multiplications before additions and subtractions:

7 \times 7

49

6 \times 20

120

ⅰ

20 \times 7

140

22 + \frac{49 + 120}{140}

ⓘ Calculate the numerator and denominator before dividing:

49 + 120

169

22 + \frac{169}{140}

▶Result:

23

\frac{29}{140}

ⓘ The fraction

\frac{169}{140}

is greater than 1: extract

1

from it and add it to the whole part:

22 + \frac{169}{140}

22 + \frac{140 + 29}{140}

22 + \frac{140}{140} + \frac{29}{140}

22 + 1 + \frac{29}{140}

23 + \frac{29}{140}

The numeric value of:

23 + \frac{29}{140}

equals:

23 + \approx 0.2071

▷

\approx 23.2071

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