explain 17 13/20 + 24 1/9 + 24 11/16 — step-by-step solution

⚠ 17 13/20 is read as the mixed number 17 + 13/20

⚠ 24 1/9 is read as the mixed number 24 + 1/9

Let's evaluate:

17

+ \frac{13}{20}

+ 24

+ \frac{1}{9}

+ 24

+ \frac{11}{16}

ℹ

17 + 24

41

41

+ \frac{13}{20}

+ \frac{1}{9}

+ 24

+ \frac{11}{16}

ℹ

41 + 24

65

65

+ \frac{13}{20}

+ \frac{1}{9}

+ \frac{11}{16}

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

\frac{13}{20} + \frac{1}{9}

\frac{13 \times 9 + 1 \times 20}{20 \times 9}

65 + \frac{13 \times 9 + 1 \times 20}{20 \times 9} + \frac{11}{16}

ⓘMultiplications are done before additions and subtractions:

13 \times 9

(10 + 3) \times 9

10 \times 9 + 3 \times 9

90 + 27

117

ℹ

1 \times 20

20

‖

20 \times 9

180

65 + \frac{117 + 20}{180} + \frac{11}{16}

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

117 + 20

137

65 + \frac{137}{180} + \frac{11}{16}

ℹ

\frac{137}{180} + \frac{11}{16}

\frac{137 \times 4 + 11 \times 45}{180 \times 4}

65 + \frac{137 \times 4 + 11 \times 45}{180 \times 4}

ⓘ

137 \times 4

(100 + 30 + 7) \times 4

100 \times 4 + 30 \times 4 + 7 \times 4

400 + 120 + 28

548

‖

11 \times 45

45 \times (10 + 1)

45 \times 10 + 45

450 + 45

495

‖

180 \times 4

(100 + 80) \times 4

100 \times 4 + 80 \times 4

400 + 320

720

65 + \frac{548 + 495}{720}

ℹ

548 + 495

1043

65 + \frac{1043}{720}

ⓘThe fraction

\frac{1043}{720}

is greater than 1: add its integer part

1

to the whole part:

\frac{1043}{720} + 65

66 + \frac{323}{720}

▶Result:

66

\frac{323}{720}

The numeric value of:

66 + \frac{323}{720}

equals:

66 + \approx 0.4486

▷

\approx 66.4486