11 1/12 + 5 3/20

⚠ 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 evaluate:

11

+ \frac{1}{12}

+ 5

+ \frac{3}{20}

ⓘ Start from

11

and move forward

5

on the number line:

11 + 5

16

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

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose

60

, the least common multiple of

12

and

20

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

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

\frac{1 \times 5}{12 \times 5} + \frac{3 \times 3}{20 \times 3}

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

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

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

ⓘ Perform multiplications before additions and subtractions:

3 \times 3

9

ⅰ

12 \times 5

(10 + 2) \times 5

10 \times 5 + 2 \times 5

50 + 10

60

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

ⓘ Calculate the numerator and denominator before dividing:

5 + 9

14

16 + \frac{14}{60}

ⓘ Simplify the fraction by dividing the numerator and the denominator by

2

, their greatest common divisor:

\frac{14}{60}

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

\frac{7}{30}

16 + \frac{7}{30}

▶Result:

16

\frac{7}{30}

The numeric value of:

16 + \frac{7}{30}

is:

16 + \approx 0.2333

▷

\approx 16.2333

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