explain 2 9/20 + 15 3/4 — step-by-step solution

⚠ 2 9/20 is read as the mixed number 2 + 9/20

⚠ 15 3/4 is read as the mixed number 15 + 3/4

Let's evaluate:

2

+ \frac{9}{20}

+ 15

+ \frac{3}{4}

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

\frac{9}{20} + \frac{3}{4}

\frac{9 + 5 \times 3}{20}

ℹ

2 + 15

17

17 + \frac{9 + 5 \times 3}{20}

ⓘMultiplications are done before additions and subtractions:

5 \times 3

15

17 + \frac{9 + 15}{20}

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

9 + 15

24

17 + \frac{24}{20}

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

4

\frac{24}{20}

\frac{6 \times 4}{5 \times 4}

\frac{6}{5}

17 + \frac{6}{5}

ⓘThe fraction

\frac{6}{5}

is greater than 1: add its integer part

1

to the whole part:

\frac{6}{5} + 17

18 + \frac{1}{5}

▶Result:

18

\frac{1}{5}

The numeric value of:

18 + \frac{1}{5}

is:

18 + 0.2

▷

18.2