explain 2 1/3 + 8 11/12 — step-by-step solution

⚠ 2 1/3 is read as the mixed number 2 + 1/3

⚠ 8 11/12 is read as the mixed number 8 + 11/12

Let's evaluate:

2

+ \frac{1}{3}

+ 8

+ \frac{11}{12}

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

\frac{1}{3} + \frac{11}{12}

\frac{4 + 11}{12}

ℹ

2 + 8

10

10 + \frac{4 + 11}{12}

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

4 + 11

15

10 + \frac{15}{12}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

3

\frac{15}{12}

\frac{5 \times 3}{4 \times 3}

\frac{5}{4}

10 + \frac{5}{4}

ⓘThe fraction

\frac{5}{4}

is greater than 1: add its integer part

1

to the whole part:

\frac{5}{4} + 10

11 + \frac{1}{4}

▶Result:

11

\frac{1}{4}

The approximate value of:

11 + \frac{1}{4}

equals:

11 + 0.25

▷

11.25