explain 13 13/20 + 6 3/5 + 17 3/4 — step-by-step solution

⚠ 13 13/20 is read as the mixed number 13 + 13/20

⚠ 6 3/5 is read as the mixed number 6 + 3/5

Let's calculate:

13

+ \frac{13}{20}

+ 6

+ \frac{3}{5}

+ 17

+ \frac{3}{4}

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

\frac{13}{20} + \frac{3}{5}

\frac{13 + 4 \times 3}{20}

ℹ

13 + 6

19

19

+ \frac{13 + 4 \times 3}{20}

+ 17

+ \frac{3}{4}

ⓘMultiplications are done before additions and subtractions:

4 \times 3

12

ℹ

19 + 17

36

36 + \frac{13 + 12}{20} + \frac{3}{4}

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

13 + 12

25

36 + \frac{25}{20} + \frac{3}{4}

ℹ

\frac{25}{20} + \frac{3}{4}

\frac{25 + 3 \times 5}{20}

36 + \frac{25 + 3 \times 5}{20}

ℹ

3 \times 5

15

36 + \frac{25 + 15}{20}

ℹ

25 + 15

40

36 + \frac{40}{20}

We simplify the fraction:

\frac{40}{20}

by the common factor:

20

to get the new expression:

2

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

20

\frac{40}{20}

\frac{2 \times 20}{1 \times 20}

\frac{2}{1}

36 + 2

▶Result:

38