explain 16 1/2 + 23 11/15 — step-by-step solution

⚠ 16 1/2 is read as the mixed number 16 + 1/2

⚠ 23 11/15 is read as the mixed number 23 + 11/15

Let's evaluate:

16

+ \frac{1}{2}

+ 23

+ \frac{11}{15}

ℹ

16 + 23

39

39 + \frac{1}{2} + \frac{11}{15}

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

\frac{1}{2} + \frac{11}{15}

\frac{1 \times 15 + 11 \times 2}{2 \times 15}

39 + \frac{1 \times 15 + 11 \times 2}{2 \times 15}

ⓘMultiplications are done before additions and subtractions:

11 \times 2

(10 + 1) \times 2

10 \times 2 + 2

20 + 2

22

‖

2 \times 15

(10 + 5) \times 2

10 \times 2 + 5 \times 2

20 + 10

30

ℹ

1 \times 15

15

39 + \frac{15 + 22}{30}

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

15 + 22

37

39 + \frac{37}{30}

ⓘThe fraction

\frac{37}{30}

is greater than 1: add its integer part

1

to the whole part:

\frac{37}{30} + 39

40 + \frac{7}{30}

▶Result:

40

\frac{7}{30}

The numeric value of:

40 + \frac{7}{30}

is:

40 + \approx 0.2333

▷

\approx 40.2333