explain 1 7/15 + 15 4/5 + 11 4/15 — step-by-step solution

⚠ 1 7/15 is read as the mixed number 1 + 7/15

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

Let's calculate:

1

+ \frac{7}{15}

+ 15

+ \frac{4}{5}

+ 11

+ \frac{4}{15}

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

\frac{7}{15} + \frac{4}{5}

\frac{7 + 3 \times 4}{15}

ℹ

1 + 15

16

16

+ \frac{7 + 3 \times 4}{15}

+ 11

+ \frac{4}{15}

ⓘMultiplications are done before additions and subtractions:

3 \times 4

12

ℹ

16 + 11

27

27 + \frac{7 + 12}{15} + \frac{4}{15}

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

7 + 12

19

27 + \frac{19}{15} + \frac{4}{15}

ℹ

\frac{19}{15} + \frac{4}{15}

\frac{19 + 4}{15}

27 + \frac{19 + 4}{15}

ℹ

19 + 4

23

27 + \frac{23}{15}

ⓘThe fraction

\frac{23}{15}

is greater than 1: add its integer part

1

to the whole part:

\frac{23}{15} + 27

28 + \frac{8}{15}

▶Result:

28

\frac{8}{15}

The numeric value of:

28 + \frac{8}{15}

equals:

28 + \approx 0.5333

▷

\approx 28.5333