explain 4 4/15 + 2 1/6 — step-by-step solution

⚠ 4 4/15 is read as the mixed number 4 + 4/15

⚠ 2 1/6 is read as the mixed number 2 + 1/6

Let's evaluate:

4

+ \frac{4}{15}

+ 2

+ \frac{1}{6}

ℹ

4 + 2

6

6 + \frac{4}{15} + \frac{1}{6}

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

\frac{4}{15} + \frac{1}{6}

\frac{4 \times 2 + 1 \times 5}{15 \times 2}

6 + \frac{4 \times 2 + 1 \times 5}{15 \times 2}

ⓘMultiplications are done before additions and subtractions:

4 \times 2

8

‖

15 \times 2

(10 + 5) \times 2

10 \times 2 + 5 \times 2

20 + 10

30

ℹ

1 \times 5

5

6 + \frac{8 + 5}{30}

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

8 + 5

13

6 + \frac{13}{30}

▶Result:

6

\frac{13}{30}

The approximate value of:

6 + \frac{13}{30}

equals:

6 + \approx 0.4333

▷

\approx 6.4333