17 13/20 + 19 5/7

⚠ 17 13/20 is read as the mixed number 17 + 13/20■19 5/7 is read as the mixed number 19 + 5/7

Let's evaluate:

17

+ \frac{13}{20}

+ 19

+ \frac{5}{7}

ⓘ Start from

17

and move forward

19

on the number line:

17 + 19

36

36 + \frac{13}{20} + \frac{5}{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{13}{20} + \frac{5}{7}

\frac{13 \times 7}{20 \times 7} + \frac{5 \times 20}{7 \times 20}

\frac{13 \times 7 + 5 \times 20}{20 \times 7}

36 + \frac{13 \times 7 + 5 \times 20}{20 \times 7}

ⓘ Multiplications are done before additions and subtractions:

13 \times 7

(10 + 3) \times 7

10 \times 7 + 3 \times 7

70 + 21

91

5 \times 20

100

ⅰ

20 \times 7

140

36 + \frac{91 + 100}{140}

ⓘ Calculate the numerator and denominator before dividing:

91 + 100

191

36 + \frac{191}{140}

▶Result:

37

\frac{51}{140}

ⓘ The fraction

\frac{191}{140}

is greater than 1: extract

1

from it and add it to the whole part:

36 + \frac{191}{140}

36 + \frac{140 + 51}{140}

36 + \frac{140}{140} + \frac{51}{140}

36 + 1 + \frac{51}{140}

37 + \frac{51}{140}

The numeric value of:

37 + \frac{51}{140}

equals:

37 + \approx 0.3643

▷

\approx 37.3643

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