explain 12 7/16 + 17 5/8 — step-by-step solution

⚠ 12 7/16 is read as the mixed number 12 + 7/16

⚠ 17 5/8 is read as the mixed number 17 + 5/8

Let's evaluate:

12

+ \frac{7}{16}

+ 17

+ \frac{5}{8}

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

\frac{7}{16} + \frac{5}{8}

\frac{7 + 2 \times 5}{16}

ℹ

12 + 17

29

29 + \frac{7 + 2 \times 5}{16}

ⓘMultiplications are done before additions and subtractions:

2 \times 5

10

29 + \frac{7 + 10}{16}

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

7 + 10

17

29 + \frac{17}{16}

ⓘThe fraction

\frac{17}{16}

is greater than 1: add its integer part

1

to the whole part:

\frac{17}{16} + 29

30 + \frac{1}{16}

▶Result:

30

\frac{1}{16}

The numeric value of:

30 + \frac{1}{16}

is:

30 + 0.0625

▷

30.0625