8 1/7 + 12 7/20

⚠ 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 evaluate:

8

+ \frac{1}{7}

+ 12

+ \frac{7}{20}

ⓘ Start from

8

and move forward

12

on the number line:

8 + 12

20

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

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

140

, the least common multiple of

7

and

20

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

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

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

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

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

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

ⓘ Perform multiplications before additions and subtractions:

7 \times 7

49

ⅰ

7 \times 20

140

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

ⓘ Calculate the numerator and denominator before dividing:

20 + 49

69

20 + \frac{69}{140}

▶Result:

20

\frac{69}{140}

The numeric value of:

20 + \frac{69}{140}

is:

20 + \approx 0.4929

▷

\approx 20.4929

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