11 1/10 + 24 15/16

⚠ 11 1/10 is read as the mixed number 11 + 1/10■24 15/16 is read as the mixed number 24 + 15/16

Let's evaluate:

11

+ \frac{1}{10}

+ 24

+ \frac{15}{16}

ⓘ Start from

11

and move forward

24

on the number line:

11 + 24

35

35 + \frac{1}{10} + \frac{15}{16}

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose

80

, the least common multiple of

10

and

16

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

\frac{1}{10} + \frac{15}{16}

\frac{1 \times 8}{10 \times 8} + \frac{15 \times 5}{16 \times 5}

\frac{1 \times 8 + 15 \times 5}{10 \times 8}

\frac{8 + 15 \times 5}{10 \times 8}

35 + \frac{8 + 15 \times 5}{10 \times 8}

ⓘ Multiplications are done before additions and subtractions:

15 \times 5

(10 + 5) \times 5

10 \times 5 + 5 \times 5

50 + 25

75

ⅰ

10 \times 8

80

35 + \frac{8 + 75}{80}

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

8 + 75

83

35 + \frac{83}{80}

▶Result:

36

\frac{3}{80}

ⓘ Since the fraction

\frac{83}{80}

exceeds 1, take

1

out of it and add it to the whole part:

35 + \frac{83}{80}

35 + \frac{80 + 3}{80}

35 + \frac{80}{80} + \frac{3}{80}

35 + 1 + \frac{3}{80}

36 + \frac{3}{80}

The numeric value of:

36 + \frac{3}{80}

is:

36 + 0.0375

▷

36.0375

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