explain 3 4/5 + 3 8/15 — step-by-step solution

⚠ 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 evaluate:

3

+ \frac{4}{5}

+ 3

+ \frac{8}{15}

ⓘTo add fractions, put them over the same denominator, then add the numerators:

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

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

ℹ

3 + 3

6

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

ⓘMultiplications are done before additions and subtractions:

3 \times 4

12

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

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

12 + 8

20

6 + \frac{20}{15}

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

5

\frac{20}{15}

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

\frac{4}{3}

6 + \frac{4}{3}

ⓘThe fraction

\frac{4}{3}

is greater than 1: add its integer part

1

to the whole part:

\frac{4}{3} + 6

7 + \frac{1}{3}

▶Result:

7

\frac{1}{3}

The approximate value of:

7 + \frac{1}{3}

is:

7 + \approx 0.3333

▷

\approx 7.3333