7 5/12 + 2 3/16 + 6 11/16

⚠ 7 5/12 is read as the mixed number 7 + 5/12■2 3/16 is read as the mixed number 2 + 3/16■6 11/16 is read as the mixed number 6 + 11/16

Let's evaluate:

7

+ \frac{5}{12}

+ 2

+ \frac{3}{16}

+ 6

+ \frac{11}{16}

ⓘ Start from

7

and move forward

2

on the number line:

7 + 2

9

■Add fractions by using a common denominator and then adding their numerators:

\frac{3}{16} + \frac{11}{16}

\frac{3 + 11}{16}

9

+ \frac{5}{12}

+ \frac{3 + 11}{16}

+ 6

ⓘ Calculate the numerator and denominator before dividing:

3 + 11

14

9

+ \frac{5}{12}

+ \frac{14}{16}

+ 6

ⓘ Start from

9

and move forward

6

on the number line:

9 + 6

15

■We simplify the fraction by dividing the numerator and the denominator by

2

, their greatest common divisor:

\frac{14}{16}

\frac{7 \times 2}{8 \times 2}

\frac{7}{8}

15 + \frac{5}{12} + \frac{7}{8}

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

24

, the least common multiple of

12

and

8

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

\frac{5}{12} + \frac{7}{8}

\frac{5 \times 2}{12 \times 2} + \frac{7 \times 3}{8 \times 3}

\frac{5 \times 2 + 7 \times 3}{12 \times 2}

15 + \frac{5 \times 2 + 7 \times 3}{12 \times 2}

ⓘ Perform multiplications before additions and subtractions:

5 \times 2

10

7 \times 3

21

ⅰ

12 \times 2

(10 + 2) \times 2

10 \times 2 + 2 \times 2

20 + 4

24

15 + \frac{10 + 21}{24}

ⓘ Calculate the numerator and denominator before dividing:

10 + 21

31

15 + \frac{31}{24}

▶Result:

16

\frac{7}{24}

ⓘ The fraction

\frac{31}{24}

is greater than 1: extract

1

from it and add it to the whole part:

15 + \frac{31}{24}

15 + \frac{24 + 7}{24}

15 + \frac{24}{24} + \frac{7}{24}

15 + 1 + \frac{7}{24}

16 + \frac{7}{24}

The numeric value of:

16 + \frac{7}{24}

is:

16 + \approx 0.2917

▷

\approx 16.2917

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