explain 20 11/15 + 17 15/16 + 17 7/15 — step-by-step solution

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

⚠ 17 15/16 is read as the mixed number 17 + 15/16

Let's calculate:

20

+ \frac{11}{15}

+ 17

+ \frac{15}{16}

+ 17

+ \frac{7}{15}

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

\frac{11}{15} + \frac{7}{15}

\frac{11 + 7}{15}

ℹ

20 + 17

37

37

+ \frac{11 + 7}{15}

+ \frac{15}{16}

+ 17

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

11 + 7

18

ℹ

37 + 17

54

54 + \frac{18}{15} + \frac{15}{16}

ℹ

\frac{18}{15} + \frac{15}{16}

\frac{18 \times 16 + 15 \times 15}{15 \times 16}

54 + \frac{18 \times 16 + 15 \times 15}{15 \times 16}

ⓘMultiplications are done before additions and subtractions:

18 \times 16

18 \times (10 + 6)

18 \times 10 + 18 \times 6

180 + 108

288

‖

15 \times 15

15 \times (10 + 5)

15 \times 10 + 15 \times 5

150 + 75

225

‖

15 \times 16

16 \times (10 + 5)

16 \times 10 + 16 \times 5

160 + 80

240

54 + \frac{288 + 225}{240}

ℹ

288 + 225

513

54 + \frac{513}{240}

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

3

\frac{513}{240}

\frac{171 \times 3}{80 \times 3}

\frac{171}{80}

54 + \frac{171}{80}

ⓘThe fraction

\frac{171}{80}

is greater than 1: add its integer part

2

to the whole part:

\frac{171}{80} + 54

56 + \frac{11}{80}

▶Result:

56

\frac{11}{80}

The approximate value of:

56 + \frac{11}{80}

is:

56 + 0.1375

▷

56.1375