3 4/5 + 3 8/15

⚠ 3 4/5 is read as the mixed number 3 + 4/5■3 8/15 is read as the mixed number 3 + 8/15

Let's calculate:

3

+ \frac{4}{5}

+ 3

+ \frac{8}{15}

ⓘ Start from

3

and move forward

3

on the number line:

3 + 3

6

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

\frac{4}{5} + \frac{8}{15}

\frac{3 \times 4 + 8}{15}

6 + \frac{3 \times 4 + 8}{15}

ⓘ Multiplications are done before additions and subtractions:

3 \times 4

12

6 + \frac{12 + 8}{15}

ⓘ Calculate the numerator and denominator before dividing:

12 + 8

20

6 + \frac{20}{15}

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

5

, their greatest common divisor:

\frac{20}{15}

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

\frac{4}{3}

6 + \frac{4}{3}

▶Result:

7

\frac{1}{3}

ⓘ The fraction

\frac{4}{3}

is greater than 1: extract

1

from it and add it to the whole part:

6 + \frac{4}{3}

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

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

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

7 + \frac{1}{3}

The numeric value of:

7 + \frac{1}{3}

is:

7 + \approx 0.3333

▷

\approx 7.3333

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