13 3/7 + 19 3/10 + 21 1/5

⚠ 13 3/7 is read as the mixed number 13 + 3/7■19 3/10 is read as the mixed number 19 + 3/10■21 1/5 is read as the mixed number 21 + 1/5

Let's evaluate:

13

+ \frac{3}{7}

+ 19

+ \frac{3}{10}

+ 21

+ \frac{1}{5}

ⓘ Start from

13

and move forward

19

on the number line:

13 + 19

32

■Add fractions by using a common denominator and then adding their numerators:

\frac{3}{10} + \frac{1}{5}

\frac{3 + 2}{10}

32

+ \frac{3}{7}

+ \frac{3 + 2}{10}

+ 21

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

3 + 2

5

32

+ \frac{3}{7}

+ \frac{5}{10}

+ 21

ⓘ Start from

32

and move forward

21

on the number line:

32 + 21

53

■Simplify the fraction by dividing the numerator and the denominator by

5

, their greatest common divisor:

\frac{5}{10}

\frac{1 \times 5}{2 \times 5}

\frac{1}{2}

53 + \frac{3}{7} + \frac{1}{2}

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

14

, the least common multiple of

7

and

2

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

\frac{3}{7} + \frac{1}{2}

\frac{3 \times 2}{7 \times 2} + \frac{1 \times 7}{2 \times 7}

\frac{3 \times 2 + 1 \times 7}{7 \times 2}

\frac{3 \times 2 + 7}{7 \times 2}

53 + \frac{3 \times 2 + 7}{7 \times 2}

ⓘ Perform multiplications before additions and subtractions:

3 \times 2

6

ⅰ

7 \times 2

14

53 + \frac{6 + 7}{14}

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

6 + 7

13

53 + \frac{13}{14}

▶Result:

53

\frac{13}{14}

The numeric value of:

53 + \frac{13}{14}

is:

53 + \approx 0.9286

▷

\approx 53.9286

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