7 4/15 + 9 1/6 + 15 1/2

⚠ 7 4/15 is read as the mixed number 7 + 4/15■9 1/6 is read as the mixed number 9 + 1/6■15 1/2 is read as the mixed number 15 + 1/2

Let's evaluate:

7

+ \frac{4}{15}

+ 9

+ \frac{1}{6}

+ 15

+ \frac{1}{2}

ⓘ Start from

7

and move forward

9

on the number line:

7 + 9

16

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

\frac{1}{6} + \frac{1}{2}

\frac{1 + 3}{6}

16

+ \frac{4}{15}

+ \frac{1 + 3}{6}

+ 15

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

1 + 3

4

16

+ \frac{4}{15}

+ \frac{4}{6}

+ 15

ⓘ Start from

16

and move forward

15

on the number line:

16 + 15

31

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

2

, their greatest common divisor:

\frac{4}{6}

\frac{2 \times 2}{3 \times 2}

\frac{2}{3}

31 + \frac{4}{15} + \frac{2}{3}

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

15

, the least common multiple of

15

and

3

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

\frac{4}{15} + \frac{2}{3}

\frac{4}{15} + \frac{2 \times 5}{3 \times 5}

\frac{4 + 2 \times 5}{15}

31 + \frac{4 + 2 \times 5}{15}

ⓘ Multiplications are done before additions and subtractions:

2 \times 5

10

31 + \frac{4 + 10}{15}

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

4 + 10

14

31 + \frac{14}{15}

▶Result:

31

\frac{14}{15}

The numeric value of:

31 + \frac{14}{15}

equals:

31 + \approx 0.9333

▷

\approx 31.9333

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