explain 8 1/7 + 12 7/20 — step-by-step solution

⚠ 8 1/7 is read as the mixed number 8 + 1/7

⚠ 12 7/20 is read as the mixed number 12 + 7/20

Let's calculate:

8

+ \frac{1}{7}

+ 12

+ \frac{7}{20}

ℹ

8 + 12

20

20 + \frac{1}{7} + \frac{7}{20}

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

\frac{1}{7} + \frac{7}{20}

\frac{1 \times 20 + 7 \times 7}{7 \times 20}

20 + \frac{1 \times 20 + 7 \times 7}{7 \times 20}

ⓘMultiplications are done before additions and subtractions:

7 \times 7

49

ℹ

1 \times 20

20

‖

7 \times 20

140

20 + \frac{20 + 49}{140}

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

20 + 49

69

20 + \frac{69}{140}

▶Result:

20

\frac{69}{140}

The approximate value of:

20 + \frac{69}{140}

equals:

20 + \approx 0.4929

▷

\approx 20.4929