explain 14 7/12 + 11 4/5 + 11 13/15 — step-by-step solution

⚠ 14 7/12 is read as the mixed number 14 + 7/12

⚠ 11 4/5 is read as the mixed number 11 + 4/5

Let's calculate:

14

+ \frac{7}{12}

+ 11

+ \frac{4}{5}

+ 11

+ \frac{13}{15}

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

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

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

ℹ

14 + 11

25

25

+ \frac{7}{12}

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

+ 11

ⓘMultiplications are done before additions and subtractions:

3 \times 4

12

ℹ

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}

ℹ

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

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

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

ⓘ

25 \times 4

(20 + 5) \times 4

20 \times 4 + 5 \times 4

80 + 20

100

‖

12 \times 5

(10 + 2) \times 5

10 \times 5 + 2 \times 5

50 + 10

60

ℹ

7 \times 5

35

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

ℹ

35 + 100

135

36 + \frac{135}{60}

This fraction:

\frac{135}{60}

simplifies by the common factor:

15

into the new quotient:

\frac{9}{4}

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

15

\frac{135}{60}

\frac{9 \times 15}{4 \times 15}

\frac{9}{4}

36 + \frac{9}{4}

ⓘThe fraction

\frac{9}{4}

is greater than 1: add its integer part

2

to the whole part:

\frac{9}{4} + 36

38 + \frac{1}{4}

▶Result:

38

\frac{1}{4}

The approximate value of:

38 + \frac{1}{4}

equals:

38 + 0.25

▷

38.25