12 1/3 + 14 6/7

⚠ 12 1/3 is read as the mixed number 12 + 1/3■14 6/7 is read as the mixed number 14 + 6/7

Let's calculate:

12

+ \frac{1}{3}

+ 14

+ \frac{6}{7}

ⓘ Start from

12

and move forward

14

on the number line:

12 + 14

26

26 + \frac{1}{3} + \frac{6}{7}

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

21

, the least common multiple of

3

and

7

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

\frac{1}{3} + \frac{6}{7}

\frac{1 \times 7}{3 \times 7} + \frac{6 \times 3}{7 \times 3}

\frac{1 \times 7 + 6 \times 3}{3 \times 7}

\frac{7 + 6 \times 3}{3 \times 7}

26 + \frac{7 + 6 \times 3}{3 \times 7}

ⓘ Perform multiplications before additions and subtractions:

6 \times 3

18

ⅰ

3 \times 7

21

26 + \frac{7 + 18}{21}

ⓘ Calculate the numerator and denominator before dividing:

7 + 18

25

26 + \frac{25}{21}

▶Result:

27

\frac{4}{21}

ⓘ Since the fraction

\frac{25}{21}

exceeds 1, take

1

out of it and add it to the whole part:

26 + \frac{25}{21}

26 + \frac{21 + 4}{21}

26 + \frac{21}{21} + \frac{4}{21}

26 + 1 + \frac{4}{21}

27 + \frac{4}{21}

The numeric value of:

27 + \frac{4}{21}

is:

27 + \approx 0.1905

▷

\approx 27.1905

100% free