12 5/6 + 7 1/15

⚠ 12 5/6 is read as the mixed number 12 + 5/6■7 1/15 is read as the mixed number 7 + 1/15

Let's evaluate:

12

+ \frac{5}{6}

+ 7

+ \frac{1}{15}

ⓘ Start from

12

and move forward

7

on the number line:

12 + 7

19

19 + \frac{5}{6} + \frac{1}{15}

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose

30

, the least common multiple of

6

and

15

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

\frac{5}{6} + \frac{1}{15}

\frac{5 \times 5}{6 \times 5} + \frac{1 \times 2}{15 \times 2}

\frac{5 \times 5 + 1 \times 2}{6 \times 5}

\frac{5 \times 5 + 2}{6 \times 5}

19 + \frac{5 \times 5 + 2}{6 \times 5}

ⓘ Perform multiplications before additions and subtractions:

5 \times 5

25

ⅰ

6 \times 5

30

19 + \frac{25 + 2}{30}

ⓘ Calculate the numerator and denominator before dividing:

25 + 2

27

19 + \frac{27}{30}

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

3

, their greatest common divisor:

\frac{27}{30}

\frac{9 \times 3}{10 \times 3}

\frac{9}{10}

19 + \frac{9}{10}

▶Result:

19

\frac{9}{10}

The numeric value of:

19 + \frac{9}{10}

equals:

19 + 0.9

▷

19.9

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