explain 19 1/5 + 14 1/10 + 7 1/2 — step-by-step solution

⚠ 19 1/5 is read as the mixed number 19 + 1/5

⚠ 14 1/10 is read as the mixed number 14 + 1/10

Let's calculate:

19

+ \frac{1}{5}

+ 14

+ \frac{1}{10}

+ 7

+ \frac{1}{2}

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

\frac{1}{5} + \frac{1}{10}

\frac{2 + 1}{10}

ℹ

19 + 14

33

33

+ \frac{2 + 1}{10}

+ 7

+ \frac{1}{2}

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

2 + 1

3

ℹ

33 + 7

40

40 + \frac{3}{10} + \frac{1}{2}

ℹ

\frac{3}{10} + \frac{1}{2}

\frac{3 + 1 \times 5}{10}

40 + \frac{3 + 1 \times 5}{10}

ℹ

1 \times 5

5

40 + \frac{3 + 5}{10}

ℹ

3 + 5

8

40 + \frac{8}{10}

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

2

\frac{8}{10}

\frac{4 \times 2}{5 \times 2}

\frac{4}{5}

40 + \frac{4}{5}

▶Result:

40

\frac{4}{5}

The approximate value of:

40 + \frac{4}{5}

equals:

40 + 0.8

▷

40.8