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 evaluate:

14

+ \frac{7}{12}

+ 11

+ \frac{4}{5}

+ 11

+ \frac{13}{15}

25

+ \frac{7}{12}

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

+ 11

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

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

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

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

36 + \frac{135}{60}

We simplify the fraction:

\frac{135}{60}

by the common factor:

15

to get the new fraction:

\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}

is:

38 + 0.25

▷

38.25