15 14/15 + 10 11/12 + 15 13/20 — step-by-step solution

⚠ 15 14/15 is read as the mixed number 15 + 14/15

⚠ 10 11/12 is read as the mixed number 10 + 11/12

Let's calculate:

15

+ \frac{14}{15}

+ 10

+ \frac{11}{12}

+ 15

+ \frac{13}{20}

25

+ \frac{14}{15}

+ \frac{11}{12}

+ 15

+ \frac{13}{20}

40

+ \frac{14}{15}

+ \frac{11}{12}

+ \frac{13}{20}

40 + \frac{14 \times 4 + 11 \times 5}{15 \times 4} + \frac{13}{20}

40 + \frac{56 + 55}{60} + \frac{13}{20}

40 + \frac{111}{60} + \frac{13}{20}

40 + \frac{111 + 13 \times 3}{60}

40 + \frac{111 + 39}{60}

40 + \frac{150}{60}

We simplify the fraction:

\frac{150}{60}

by the common factor:

30

to get the new quotient:

\frac{5}{2}

40 + \frac{5}{2}

ⓘThe fraction

\frac{5}{2}

is greater than 1: add its integer part

2

to the whole part:

\frac{5}{2} + 40

42 + \frac{1}{2}

▶Result:

42

\frac{1}{2}

The approximate value of:

42 + \frac{1}{2}

equals:

42 + 0.5

▷

42.5