12 3/5 + 15 15/16

⚠ 12 3/5 is read as the mixed number 12 + 3/5■15 15/16 is read as the mixed number 15 + 15/16

Let's calculate:

12

+ \frac{3}{5}

+ 15

+ \frac{15}{16}

ⓘ Start from

12

and move forward

15

on the number line:

12 + 15

27

27 + \frac{3}{5} + \frac{15}{16}

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

80

, the least common multiple of

5

and

16

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

\frac{3}{5} + \frac{15}{16}

\frac{3 \times 16}{5 \times 16} + \frac{15 \times 5}{16 \times 5}

\frac{3 \times 16 + 15 \times 5}{5 \times 16}

27 + \frac{3 \times 16 + 15 \times 5}{5 \times 16}

ⓘ Perform multiplications before additions and subtractions:

3 \times 16

3 \times (10 + 6)

3 \times 10 + 3 \times 6

30 + 18

48

15 \times 5

(10 + 5) \times 5

10 \times 5 + 5 \times 5

50 + 25

75

ⅰ

5 \times 16

5 \times (10 + 6)

5 \times 10 + 5 \times 6

50 + 30

80

27 + \frac{48 + 75}{80}

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

48 + 75

123

27 + \frac{123}{80}

▶Result:

28

\frac{43}{80}

ⓘ Since the fraction

\frac{123}{80}

exceeds 1, take

1

out of it and add it to the whole part:

27 + \frac{123}{80}

27 + \frac{80 + 43}{80}

27 + \frac{80}{80} + \frac{43}{80}

27 + 1 + \frac{43}{80}

28 + \frac{43}{80}

The numeric value of:

28 + \frac{43}{80}

is:

28 + 0.5375

▷

28.5375

100% free