explain 17 1/5 + 15 11/20 + 7 4/5 — step-by-step solution

⚠ 17 1/5 is read as the mixed number 17 + 1/5

⚠ 15 11/20 is read as the mixed number 15 + 11/20

Let's evaluate:

17

+ \frac{1}{5}

+ 15

+ \frac{11}{20}

+ 7

+ \frac{4}{5}

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

\frac{1}{5} + \frac{11}{20}

\frac{4 + 11}{20}

ℹ

17 + 15

32

32

+ \frac{4 + 11}{20}

+ 7

+ \frac{4}{5}

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

4 + 11

15

ℹ

32 + 7

39

39 + \frac{15}{20} + \frac{4}{5}

ℹ

\frac{15}{20} + \frac{4}{5}

\frac{15 + 4 \times 4}{20}

39 + \frac{15 + 4 \times 4}{20}

ⓘMultiplications are done before additions and subtractions:

4 \times 4

16

39 + \frac{15 + 16}{20}

ℹ

15 + 16

31

39 + \frac{31}{20}

ⓘThe fraction

\frac{31}{20}

is greater than 1: add its integer part

1

to the whole part:

\frac{31}{20} + 39

40 + \frac{11}{20}

▶Result:

40

\frac{11}{20}

The approximate value of:

40 + \frac{11}{20}

is:

40 + 0.55

▷

40.55