15 7/12 + 4 3/20 + 5 4/15

⚠ 15 7/12 is read as the mixed number 15 + 7/12■4 3/20 is read as the mixed number 4 + 3/20■5 4/15 is read as the mixed number 5 + 4/15

Let's calculate:

15

+ \frac{7}{12}

+ 4

+ \frac{3}{20}

+ 5

+ \frac{4}{15}

ⓘ Start from

15

and move forward

4

on the number line:

15 + 4

19

19

+ \frac{7}{12}

+ \frac{3}{20}

+ 5

+ \frac{4}{15}

ⓘ Start from

19

and move forward

5

on the number line:

19 + 5

24

24

+ \frac{7}{12}

+ \frac{3}{20}

+ \frac{4}{15}

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

60

, the least common multiple of

12

and

20

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

\frac{7}{12} + \frac{3}{20}

\frac{7 \times 5}{12 \times 5} + \frac{3 \times 3}{20 \times 3}

\frac{7 \times 5 + 3 \times 3}{12 \times 5}

24 + \frac{7 \times 5 + 3 \times 3}{12 \times 5} + \frac{4}{15}

ⓘ Multiplications are done before additions and subtractions:

7 \times 5

35

3 \times 3

9

ⅰ

12 \times 5

(10 + 2) \times 5

10 \times 5 + 2 \times 5

50 + 10

60

24 + \frac{35 + 9}{60} + \frac{4}{15}

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

35 + 9

44

24 + \frac{44}{60} + \frac{4}{15}

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

60

, the least common multiple of

60

and

15

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

\frac{44}{60} + \frac{4}{15}

\frac{44}{60} + \frac{4 \times 4}{15 \times 4}

\frac{44 + 4 \times 4}{60}

24 + \frac{44 + 4 \times 4}{60}

ⓘ Multiplications are done before additions and subtractions:

4 \times 4

16

24 + \frac{44 + 16}{60}

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

44 + 16

60

24 + \frac{60}{60}

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

60

, their greatest common divisor:

\frac{60}{60}

1

24 + 1

ⓘ Start from

24

and move forward

1

on the number line:

24 + 1

25

▶Result:

25

100% free