14 7/12 + 11 4/5 + 11 13/15

⚠ 14 7/12 is read as the mixed number 14 + 7/12■11 4/5 is read as the mixed number 11 + 4/5■11 13/15 is read as the mixed number 11 + 13/15

1) Let's evaluate:

14

+ \frac{7}{12}

+ 11

+ \frac{4}{5}

+ 11

+ \frac{13}{15}

ⓘ Start from

14

and move forward

11

on the number line:

14 + 11

25

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

\frac{4}{5} + \frac{13}{15}

\frac{3 \times 4 + 13}{15}

25

+ \frac{7}{12}

+ \frac{3 \times 4 + 13}{15}

+ 11

ⓘ Multiplications are done before additions and subtractions:

3 \times 4

12

■Start from

25

and move forward

11

on the number line:

25 + 11

36

36 + \frac{7}{12} + \frac{12 + 13}{15}

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

12 + 13

25

36 + \frac{7}{12} + \frac{25}{15}

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

60

, the least common multiple of

12

and

15

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

\frac{7}{12} + \frac{25}{15}

\frac{7 \times 5}{12 \times 5} + \frac{25 \times 4}{15 \times 4}

\frac{7 \times 5 + 25 \times 4}{12 \times 5}

36 + \frac{7 \times 5 + 25 \times 4}{12 \times 5}

ⓘ Multiplications are done before additions and subtractions:

7 \times 5

35

25 \times 4

(20 + 5) \times 4

20 \times 4 + 5 \times 4

80 + 20

100

ⅰ

12 \times 5

(10 + 2) \times 5

10 \times 5 + 2 \times 5

50 + 10

60

36 + \frac{35 + 100}{60}

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

35 + 100

135

36 + \frac{135}{60}

We divide the numerator and denominator of

\frac{135}{60}

by the common factor:

15

, which gives the new fraction:

\frac{9}{4}

36 + \frac{9}{4}

▶Result:

38

\frac{1}{4}

ⓘ The fraction

\frac{9}{4}

is greater than 1: extract

2

from it and add it to the whole part:

36 + \frac{9}{4}

36 + \frac{8 + 1}{4}

36 + \frac{8}{4} + \frac{1}{4}

36 + 2 + \frac{1}{4}

38 + \frac{1}{4}

2) The numeric value of:

38 + \frac{1}{4}

equals:

38 + 0.25

▷

38.25

100% free