explain 3 11/20 + 2 17/20 + 19 11/15 — step-by-step solution

⚠ 3 11/20 is read as the mixed number 3 + 11/20

⚠ 2 17/20 is read as the mixed number 2 + 17/20

Let's calculate:

3

+ \frac{11}{20}

+ 2

+ \frac{17}{20}

+ 19

+ \frac{11}{15}

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

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

\frac{11 + 17}{20}

ℹ

3 + 2

5

5

+ \frac{11 + 17}{20}

+ 19

+ \frac{11}{15}

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

11 + 17

28

ℹ

5 + 19

24

24 + \frac{28}{20} + \frac{11}{15}

ℹ

\frac{28}{20} + \frac{11}{15}

\frac{28 \times 3 + 11 \times 4}{20 \times 3}

24 + \frac{28 \times 3 + 11 \times 4}{20 \times 3}

ⓘMultiplications are done before additions and subtractions:

28 \times 3

(20 + 8) \times 3

20 \times 3 + 8 \times 3

60 + 24

84

‖

11 \times 4

(10 + 1) \times 4

10 \times 4 + 4

40 + 4

44

ℹ

20 \times 3

60

24 + \frac{84 + 44}{60}

ℹ

84 + 44

128

24 + \frac{128}{60}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

4

\frac{128}{60}

\frac{32 \times 4}{15 \times 4}

\frac{32}{15}

24 + \frac{32}{15}

ⓘThe fraction

\frac{32}{15}

is greater than 1: add its integer part

2

to the whole part:

\frac{32}{15} + 24

26 + \frac{2}{15}

▶Result:

26

\frac{2}{15}

The numeric value of:

26 + \frac{2}{15}

equals:

26 + \approx 0.1333

▷

\approx 26.1333