17 1/4 + 9 8/15 + 21 1/8

⚠ 17 1/4 is read as the mixed number 17 + 1/4■9 8/15 is read as the mixed number 9 + 8/15■21 1/8 is read as the mixed number 21 + 1/8

Let's evaluate:

17

+ \frac{1}{4}

+ 9

+ \frac{8}{15}

+ 21

+ \frac{1}{8}

ⓘ Start from

17

and move forward

9

on the number line:

17 + 9

26

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

\frac{1}{4} + \frac{1}{8}

\frac{2 + 1}{8}

26

+ \frac{2 + 1}{8}

+ \frac{8}{15}

+ 21

ⓘ Calculate the numerator and denominator before dividing:

2 + 1

3

26

+ \frac{3}{8}

+ \frac{8}{15}

+ 21

ⓘ Start from

26

and move forward

21

on the number line:

26 + 21

47

47 + \frac{3}{8} + \frac{8}{15}

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

120

, the least common multiple of

8

and

15

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

\frac{3}{8} + \frac{8}{15}

\frac{3 \times 15}{8 \times 15} + \frac{8 \times 8}{15 \times 8}

\frac{3 \times 15 + 8 \times 8}{8 \times 15}

47 + \frac{3 \times 15 + 8 \times 8}{8 \times 15}

ⓘ Multiplications are done before additions and subtractions:

3 \times 15

3 \times (10 + 5)

3 \times 10 + 3 \times 5

30 + 15

45

8 \times 8

64

ⅰ

8 \times 15

8 \times (10 + 5)

8 \times 10 + 8 \times 5

80 + 40

120

47 + \frac{45 + 64}{120}

ⓘ Calculate the numerator and denominator before dividing:

45 + 64

109

47 + \frac{109}{120}

▶Result:

47

\frac{109}{120}

The numeric value of:

47 + \frac{109}{120}

equals:

47 + \approx 0.9083

▷

\approx 47.9083

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