explain 12 3/5 + 15 15/16 — step-by-step solution

⚠ 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}

ℹ

12 + 15

27

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

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

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

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

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

ⓘMultiplications are done before additions and subtractions:

3 \times 16

(10 + 6) \times 3

10 \times 3 + 6 \times 3

30 + 18

48

‖

15 \times 5

(10 + 5) \times 5

10 \times 5 + 5 \times 5

50 + 25

75

‖

5 \times 16

(10 + 6) \times 5

10 \times 5 + 6 \times 5

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}

ⓘThe fraction

\frac{123}{80}

is greater than 1: add its integer part

1

to the whole part:

\frac{123}{80} + 27

28 + \frac{43}{80}

▶Result:

28

\frac{43}{80}

The approximate value of:

28 + \frac{43}{80}

equals:

28 + 0.5375

▷

28.5375