explain 11 1/12 + 5 3/20 — step-by-step solution

⚠ 11 1/12 is read as the mixed number 11 + 1/12

⚠ 5 3/20 is read as the mixed number 5 + 3/20

Let's calculate:

11

+ \frac{1}{12}

+ 5

+ \frac{3}{20}

ℹ

11 + 5

16

16 + \frac{1}{12} + \frac{3}{20}

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

\frac{1}{12} + \frac{3}{20}

\frac{1 \times 5 + 3 \times 3}{12 \times 5}

16 + \frac{1 \times 5 + 3 \times 3}{12 \times 5}

ⓘMultiplications are done before additions and subtractions:

3 \times 3

9

‖

12 \times 5

(10 + 2) \times 5

10 \times 5 + 2 \times 5

50 + 10

60

ℹ

1 \times 5

5

16 + \frac{5 + 9}{60}

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

5 + 9

14

16 + \frac{14}{60}

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

2

\frac{14}{60}

\frac{7 \times 2}{30 \times 2}

\frac{7}{30}

16 + \frac{7}{30}

▶Result:

16

\frac{7}{30}

The approximate value of:

16 + \frac{7}{30}

equals:

16 + \approx 0.2333

▷

\approx 16.2333