explain 21 7/20 + 1 6/7 — step-by-step solution

⚠ 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 evaluate:

21

+ \frac{7}{20}

+ 1

+ \frac{6}{7}

ℹ

21 + 1

22

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

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

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

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

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

ⓘMultiplications are done before additions and subtractions:

7 \times 7

49

ℹ

6 \times 20

120

‖

20 \times 7

140

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

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

49 + 120

169

22 + \frac{169}{140}

ⓘThe fraction

\frac{169}{140}

is greater than 1: add its integer part

1

to the whole part:

\frac{169}{140} + 22

23 + \frac{29}{140}

▶Result:

23

\frac{29}{140}

The numeric value of:

23 + \frac{29}{140}

is:

23 + \approx 0.2071

▷

\approx 23.2071