explain 7 11/12 + 17 5/6 — step-by-step solution

⚠ 7 11/12 is read as the mixed number 7 + 11/12

⚠ 17 5/6 is read as the mixed number 17 + 5/6

Let's evaluate:

7

+ \frac{11}{12}

+ 17

+ \frac{5}{6}

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

\frac{11}{12} + \frac{5}{6}

\frac{11 + 2 \times 5}{12}

ℹ

7 + 17

24

24 + \frac{11 + 2 \times 5}{12}

ⓘMultiplications are done before additions and subtractions:

2 \times 5

10

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

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

11 + 10

21

24 + \frac{21}{12}

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

3

\frac{21}{12}

\frac{7 \times 3}{4 \times 3}

\frac{7}{4}

24 + \frac{7}{4}

ⓘThe fraction

\frac{7}{4}

is greater than 1: add its integer part

1

to the whole part:

\frac{7}{4} + 24

25 + \frac{3}{4}

▶Result:

25

\frac{3}{4}

The approximate value of:

25 + \frac{3}{4}

is:

25 + 0.75

▷

25.75