explain 18 3/10 + 15 3/16 — step-by-step solution

⚠ 18 3/10 is read as the mixed number 18 + 3/10

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

Let's evaluate:

18

+ \frac{3}{10}

+ 15

+ \frac{3}{16}

ℹ

18 + 15

33

33 + \frac{3}{10} + \frac{3}{16}

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

\frac{3}{10} + \frac{3}{16}

\frac{3 \times 8 + 3 \times 5}{10 \times 8}

33 + \frac{3 \times 8 + 3 \times 5}{10 \times 8}

ⓘMultiplications are done before additions and subtractions:

3 \times 8

24

ℹ

3 \times 5

15

‖

10 \times 8

80

33 + \frac{24 + 15}{80}

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

24 + 15

39

33 + \frac{39}{80}

▶Result:

33

\frac{39}{80}

The numeric value of:

33 + \frac{39}{80}

equals:

33 + 0.4875

▷

33.4875