3 11/20 + 2 17/20 + 19 11/15

⚠ 3 11/20 is read as the mixed number 3 + 11/20■2 17/20 is read as the mixed number 2 + 17/20■19 11/15 is read as the mixed number 19 + 11/15

Let's evaluate:

3

+ \frac{11}{20}

+ 2

+ \frac{17}{20}

+ 19

+ \frac{11}{15}

ⓘ Start from

3

and move forward

2

on the number line:

3 + 2

5

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

\frac{11}{20} + \frac{17}{20}

\frac{11 + 17}{20}

5

+ \frac{11 + 17}{20}

+ 19

+ \frac{11}{15}

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

11 + 17

28

5

+ \frac{28}{20}

+ 19

+ \frac{11}{15}

ⓘ Start from

5

and move forward

19

on the number line:

5 + 19

24

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

4

, their greatest common divisor:

\frac{28}{20}

\frac{7 \times 4}{5 \times 4}

\frac{7}{5}

24 + \frac{7}{5} + \frac{11}{15}

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

15

, the least common multiple of

5

and

15

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

\frac{7}{5} + \frac{11}{15}

\frac{7 \times 3}{5 \times 3} + \frac{11}{15}

\frac{7 \times 3 + 11}{15}

24 + \frac{7 \times 3 + 11}{15}

ⓘ Perform multiplications before additions and subtractions:

7 \times 3

21

24 + \frac{21 + 11}{15}

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

21 + 11

32

24 + \frac{32}{15}

▶Result:

26

\frac{2}{15}

ⓘ The fraction

\frac{32}{15}

is greater than 1: extract

2

from it and add it to the whole part:

24 + \frac{32}{15}

24 + \frac{30 + 2}{15}

24 + \frac{30}{15} + \frac{2}{15}

24 + 2 + \frac{2}{15}

26 + \frac{2}{15}

The numeric value of:

26 + \frac{2}{15}

equals:

26 + \approx 0.1333

▷

\approx 26.1333

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