16 1/2 + 23 11/15

⚠ 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 calculate:

16

+ \frac{1}{2}

+ 23

+ \frac{11}{15}

ⓘ Start from

16

and move forward

23

on the number line:

16 + 23

39

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

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose

30

, the least common multiple of

2

and

15

. Multiplying the numerator and the denominator by the same number does not change the fraction:

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

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

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

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

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

ⓘ Perform multiplications before additions and subtractions:

11 \times 2

(10 + 1) \times 2

10 \times 2 + 2

20 + 2

22

ⅰ

2 \times 15

2 \times (10 + 5)

2 \times 10 + 2 \times 5

20 + 10

30

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

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

15 + 22

37

39 + \frac{37}{30}

▶Result:

40

\frac{7}{30}

ⓘ The fraction

\frac{37}{30}

is greater than 1: extract

1

from it and add it to the whole part:

39 + \frac{37}{30}

39 + \frac{30 + 7}{30}

39 + \frac{30}{30} + \frac{7}{30}

39 + 1 + \frac{7}{30}

40 + \frac{7}{30}

The numeric value of:

40 + \frac{7}{30}

is:

40 + \approx 0.2333

▷

\approx 40.2333

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