8 4/7 + 17 11/12

⚠ 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}

ⓘ Start from

8

and move forward

17

on the number line:

8 + 17

25

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

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

84

, the least common multiple of

7

and

12

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

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

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

\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

4 \times (10 + 2)

4 \times 10 + 4 \times 2

40 + 8

48

11 \times 7

(10 + 1) \times 7

10 \times 7 + 7

70 + 7

77

ⅰ

7 \times 12

7 \times (10 + 2)

7 \times 10 + 7 \times 2

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}

▶Result:

26

\frac{41}{84}

ⓘ Since the fraction

\frac{125}{84}

exceeds 1, take

1

out of it and add it to the whole part:

25 + \frac{125}{84}

25 + \frac{84 + 41}{84}

25 + \frac{84}{84} + \frac{41}{84}

25 + 1 + \frac{41}{84}

26 + \frac{41}{84}

The numeric value of:

26 + \frac{41}{84}

is:

26 + \approx 0.4881

▷

\approx 26.4881

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