explain 19 14/15 + 18 1/2 — step-by-step solution

⚠ 19 14/15 is read as the mixed number 19 + 14/15

⚠ 18 1/2 is read as the mixed number 18 + 1/2

Let's evaluate:

19

+ \frac{14}{15}

+ 18

+ \frac{1}{2}

ℹ

19 + 18

37

37 + \frac{14}{15} + \frac{1}{2}

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

\frac{14}{15} + \frac{1}{2}

\frac{14 \times 2 + 1 \times 15}{15 \times 2}

37 + \frac{14 \times 2 + 1 \times 15}{15 \times 2}

ⓘMultiplications are done before additions and subtractions:

14 \times 2

(10 + 4) \times 2

10 \times 2 + 4 \times 2

20 + 8

28

‖

15 \times 2

(10 + 5) \times 2

10 \times 2 + 5 \times 2

20 + 10

30

ℹ

1 \times 15

15

37 + \frac{28 + 15}{30}

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

28 + 15

43

37 + \frac{43}{30}

ⓘThe fraction

\frac{43}{30}

is greater than 1: add its integer part

1

to the whole part:

\frac{43}{30} + 37

38 + \frac{13}{30}

▶Result:

38

\frac{13}{30}

The numeric value of:

38 + \frac{13}{30}

is:

38 + \approx 0.4333

▷

\approx 38.4333