explain 11 1/10 + 24 15/16 — step-by-step solution

⚠ 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}

ℹ

11 + 24

35

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

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

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

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

35 + \frac{1 \times 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

1 \times 8

8

‖

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}

ⓘThe fraction

\frac{83}{80}

is greater than 1: add its integer part

1

to the whole part:

\frac{83}{80} + 35

36 + \frac{3}{80}

▶Result:

36

\frac{3}{80}

The approximate value of:

36 + \frac{3}{80}

is:

36 + 0.0375

▷

36.0375