3 7/12 + 23 2/3

⚠ 3 7/12 is read as the mixed number 3 + 7/12■23 2/3 is read as the mixed number 23 + 2/3

Let's evaluate:

3

+ \frac{7}{12}

+ 23

+ \frac{2}{3}

ⓘ Start from

3

and move forward

23

on the number line:

3 + 23

26

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

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

\frac{7 + 4 \times 2}{12}

26 + \frac{7 + 4 \times 2}{12}

ⓘ Multiplications are done before additions and subtractions:

4 \times 2

8

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

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

7 + 8

15

26 + \frac{15}{12}

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

3

, their greatest common divisor:

\frac{15}{12}

\frac{5 \times 3}{4 \times 3}

\frac{5}{4}

26 + \frac{5}{4}

▶Result:

27

\frac{1}{4}

ⓘ The fraction

\frac{5}{4}

is greater than 1: extract

1

from it and add it to the whole part:

26 + \frac{5}{4}

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

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

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

27 + \frac{1}{4}

The numeric value of:

27 + \frac{1}{4}

is:

27 + 0.25

▷

27.25

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