explain 8 4/7 + 17 11/12 — step-by-step solution

⚠ 8 4/7 is read as the mixed number 8 + 4/7

⚠ 17 11/12 is read as the mixed number 17 + 11/12

Let's evaluate:

8

+ \frac{4}{7}

+ 17

+ \frac{11}{12}

ℹ

8 + 17

25

25 + \frac{4}{7} + \frac{11}{12}

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

\frac{4}{7} + \frac{11}{12}

\frac{4 \times 12 + 11 \times 7}{7 \times 12}

25 + \frac{4 \times 12 + 11 \times 7}{7 \times 12}

ⓘMultiplications are done before additions and subtractions:

4 \times 12

(10 + 2) \times 4

10 \times 4 + 2 \times 4

40 + 8

48

‖

11 \times 7

(10 + 1) \times 7

10 \times 7 + 7

70 + 7

77

‖

7 \times 12

(10 + 2) \times 7

10 \times 7 + 2 \times 7

70 + 14

84

25 + \frac{48 + 77}{84}

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

48 + 77

125

25 + \frac{125}{84}

ⓘThe fraction

\frac{125}{84}

is greater than 1: add its integer part

1

to the whole part:

\frac{125}{84} + 25

26 + \frac{41}{84}

▶Result:

26

\frac{41}{84}

The numeric value of:

26 + \frac{41}{84}

equals:

26 + \approx 0.4881

▷

\approx 26.4881