13 13/20 + 6 3/5 + 17 3/4

⚠ 13 13/20 is read as the mixed number 13 + 13/20■6 3/5 is read as the mixed number 6 + 3/5■17 3/4 is read as the mixed number 17 + 3/4

Let's calculate:

13

+ \frac{13}{20}

+ 6

+ \frac{3}{5}

+ 17

+ \frac{3}{4}

ⓘ Start from

13

and move forward

6

on the number line:

13 + 6

19

■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}

19

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

+ 17

+ \frac{3}{4}

ⓘ Multiplications are done before additions and subtractions:

4 \times 3

12

■Start from

19

and move forward

17

on the number line:

19 + 17

36

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

ⓘ Calculate the numerator and denominator before dividing:

13 + 12

25

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

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose

20

, the least common multiple of

20

and

4

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

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

\frac{25}{20} + \frac{3 \times 5}{4 \times 5}

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

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

ⓘ Multiplications are done before additions and subtractions:

3 \times 5

15

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

ⓘ Calculate the numerator and denominator before dividing:

25 + 15

40

36 + \frac{40}{20}

We divide the numerator and denominator of

\frac{40}{20}

by the common factor:

20

, which gives the new expression:

2

36 + 2

ⓘ Start from

36

and move forward

2

on the number line:

36 + 2

38

▶Result:

38

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