explain 2 9/20 + 9 8/9 + 21 7/9 — step-by-step solution

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

⚠ 9 8/9 is read as the mixed number 9 + 8/9

Let's evaluate:

2

+ \frac{9}{20}

+ 9

+ \frac{8}{9}

+ 21

+ \frac{7}{9}

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

\frac{8}{9} + \frac{7}{9}

\frac{8 + 7}{9}

ℹ

2 + 9

11

11

+ \frac{9}{20}

+ \frac{8 + 7}{9}

+ 21

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

8 + 7

15

ℹ

11 + 21

32

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

ℹ

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

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

32 + \frac{9 \times 9 + 15 \times 20}{20 \times 9}

ⓘMultiplications are done before additions and subtractions:

9 \times 9

81

‖

15 \times 20

20 \times (10 + 5)

20 \times 10 + 20 \times 5

200 + 100

300

ℹ

20 \times 9

180

32 + \frac{81 + 300}{180}

ℹ

81 + 300

381

32 + \frac{381}{180}

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

3

\frac{381}{180}

\frac{127 \times 3}{60 \times 3}

\frac{127}{60}

32 + \frac{127}{60}

ⓘThe fraction

\frac{127}{60}

is greater than 1: add its integer part

2

to the whole part:

\frac{127}{60} + 32

34 + \frac{7}{60}

▶Result:

34

\frac{7}{60}

The approximate value of:

34 + \frac{7}{60}

equals:

34 + \approx 0.1167

▷

\approx 34.1167