explain 11 3/4 + 18 3/20 — step-by-step solution

⚠ 11 3/4 is read as the mixed number 11 + 3/4

⚠ 18 3/20 is read as the mixed number 18 + 3/20

Let's evaluate:

11

+ \frac{3}{4}

+ 18

+ \frac{3}{20}

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

\frac{3}{4} + \frac{3}{20}

\frac{5 \times 3 + 3}{20}

ℹ

11 + 18

29

29 + \frac{5 \times 3 + 3}{20}

ⓘMultiplications are done before additions and subtractions:

5 \times 3

15

29 + \frac{15 + 3}{20}

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

15 + 3

18

29 + \frac{18}{20}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

2

\frac{18}{20}

\frac{9 \times 2}{10 \times 2}

\frac{9}{10}

29 + \frac{9}{10}

▶Result:

29

\frac{9}{10}

The numeric value of:

29 + \frac{9}{10}

equals:

29 + 0.9

▷

29.9