explain 5 1/12 + 3 9/16 — step-by-step solution

⚠ 5 1/12 is read as the mixed number 5 + 1/12

⚠ 3 9/16 is read as the mixed number 3 + 9/16

Let's evaluate:

5

+ \frac{1}{12}

+ 3

+ \frac{9}{16}

ℹ

5 + 3

8

8 + \frac{1}{12} + \frac{9}{16}

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

\frac{1}{12} + \frac{9}{16}

\frac{1 \times 4 + 9 \times 3}{12 \times 4}

8 + \frac{1 \times 4 + 9 \times 3}{12 \times 4}

ⓘMultiplications are done before additions and subtractions:

9 \times 3

27

‖

12 \times 4

(10 + 2) \times 4

10 \times 4 + 2 \times 4

40 + 8

48

ℹ

1 \times 4

4

8 + \frac{4 + 27}{48}

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

4 + 27

31

8 + \frac{31}{48}

▶Result:

8

\frac{31}{48}

The approximate value of:

8 + \frac{31}{48}

equals:

8 + \approx 0.6458

▷

\approx 8.6458