17 11/16 + 21 1/5 + 5 2/15

⚠ 17 11/16 is read as the mixed number 17 + 11/16■21 1/5 is read as the mixed number 21 + 1/5■5 2/15 is read as the mixed number 5 + 2/15

Let's evaluate:

17

+ \frac{11}{16}

+ 21

+ \frac{1}{5}

+ 5

+ \frac{2}{15}

ⓘ Start from

17

and move forward

21

on the number line:

17 + 21

38

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

\frac{1}{5} + \frac{2}{15}

\frac{3 + 2}{15}

38

+ \frac{11}{16}

+ \frac{3 + 2}{15}

+ 5

ⓘ Calculate the numerator and denominator before dividing:

3 + 2

5

38

+ \frac{11}{16}

+ \frac{5}{15}

+ 5

ⓘ Start from

38

and move forward

5

on the number line:

38 + 5

43

■We simplify the fraction by dividing the numerator and the denominator by

5

, their greatest common divisor:

\frac{5}{15}

\frac{1 \times 5}{3 \times 5}

\frac{1}{3}

43 + \frac{11}{16} + \frac{1}{3}

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose

48

, the least common multiple of

16

and

3

. Multiplying the numerator and the denominator by the same number does not change the fraction:

\frac{11}{16} + \frac{1}{3}

\frac{11 \times 3}{16 \times 3} + \frac{1 \times 16}{3 \times 16}

\frac{11 \times 3 + 1 \times 16}{16 \times 3}

\frac{11 \times 3 + 16}{16 \times 3}

43 + \frac{11 \times 3 + 16}{16 \times 3}

ⓘ Perform multiplications before additions and subtractions:

11 \times 3

(10 + 1) \times 3

10 \times 3 + 3

30 + 3

33

ⅰ

16 \times 3

(10 + 6) \times 3

10 \times 3 + 6 \times 3

30 + 18

48

43 + \frac{33 + 16}{48}

ⓘ Calculate the numerator and denominator before dividing:

33 + 16

49

43 + \frac{49}{48}

▶Result:

44

\frac{1}{48}

ⓘ The fraction

\frac{49}{48}

is greater than 1: extract

1

from it and add it to the whole part:

43 + \frac{49}{48}

43 + \frac{48 + 1}{48}

43 + \frac{48}{48} + \frac{1}{48}

43 + 1 + \frac{1}{48}

44 + \frac{1}{48}

The numeric value of:

44 + \frac{1}{48}

equals:

44 + \approx 2.0833 \times 10^{- 2}

▷

\approx 44.0208

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