explain 14 5/16 + 20 13/15 + 21 11/12 — step-by-step solution

⚠ 14 5/16 is read as the mixed number 14 + 5/16

⚠ 20 13/15 is read as the mixed number 20 + 13/15

Let's evaluate:

14

+ \frac{5}{16}

+ 20

+ \frac{13}{15}

+ 21

+ \frac{11}{12}

ℹ

14 + 20

34

34

+ \frac{5}{16}

+ \frac{13}{15}

+ 21

+ \frac{11}{12}

ℹ

34 + 21

55

55

+ \frac{5}{16}

+ \frac{13}{15}

+ \frac{11}{12}

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

\frac{5}{16} + \frac{13}{15}

\frac{5 \times 15 + 13 \times 16}{16 \times 15}

55 + \frac{5 \times 15 + 13 \times 16}{16 \times 15} + \frac{11}{12}

ⓘMultiplications are done before additions and subtractions:

5 \times 15

(10 + 5) \times 5

10 \times 5 + 5 \times 5

50 + 25

75

‖

13 \times 16

16 \times (10 + 3)

16 \times 10 + 16 \times 3

160 + 48

208

‖

16 \times 15

16 \times (10 + 5)

16 \times 10 + 16 \times 5

160 + 80

240

55 + \frac{75 + 208}{240} + \frac{11}{12}

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

75 + 208

283

55 + \frac{283}{240} + \frac{11}{12}

ℹ

\frac{283}{240} + \frac{11}{12}

\frac{283 + 11 \times 20}{240}

55 + \frac{283 + 11 \times 20}{240}

ⓘ

11 \times 20

20 \times (10 + 1)

20 \times 10 + 20

200 + 20

220

55 + \frac{283 + 220}{240}

ℹ

283 + 220

503

55 + \frac{503}{240}

ⓘThe fraction

\frac{503}{240}

is greater than 1: add its integer part

2

to the whole part:

\frac{503}{240} + 55

57 + \frac{23}{240}

▶Result:

57

\frac{23}{240}

The approximate value of:

57 + \frac{23}{240}

is:

57 + \approx 9.5833 \times 10^{- 2}

▷

\approx 57.0958