explain 23 17/20 + 2 2/9 + 1 14/15 — step-by-step solution

⚠ 23 17/20 is read as the mixed number 23 + 17/20

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

Let's calculate:

23

+ \frac{17}{20}

+ 2

+ \frac{2}{9}

+ 1

+ \frac{14}{15}

ℹ

23 + 2

25

25

+ \frac{17}{20}

+ \frac{2}{9}

+ 1

+ \frac{14}{15}

ℹ

25 + 1

26

26

+ \frac{17}{20}

+ \frac{2}{9}

+ \frac{14}{15}

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

\frac{17}{20} + \frac{2}{9}

\frac{17 \times 9 + 2 \times 20}{20 \times 9}

26 + \frac{17 \times 9 + 2 \times 20}{20 \times 9} + \frac{14}{15}

ⓘMultiplications are done before additions and subtractions:

17 \times 9

(10 + 7) \times 9

10 \times 9 + 7 \times 9

90 + 63

153

ℹ

2 \times 20

40

‖

20 \times 9

180

26 + \frac{153 + 40}{180} + \frac{14}{15}

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

153 + 40

193

26 + \frac{193}{180} + \frac{14}{15}

ℹ

\frac{193}{180} + \frac{14}{15}

\frac{193 + 14 \times 12}{180}

26 + \frac{193 + 14 \times 12}{180}

ⓘ

14 \times 12

14 \times (10 + 2)

14 \times 10 + 14 \times 2

140 + 28

168

26 + \frac{193 + 168}{180}

ℹ

193 + 168

361

26 + \frac{361}{180}

ⓘThe fraction

\frac{361}{180}

is greater than 1: add its integer part

2

to the whole part:

\frac{361}{180} + 26

28 + \frac{1}{180}

▶Result:

28

\frac{1}{180}

The approximate value of:

28 + \frac{1}{180}

is:

28 + \approx 5.5556 \times 10^{- 3}

▷

\approx 28.0056