17 17/20 + 9 7/10 + 10 9/20

⚠ 17 17/20 is read as the mixed number 17 + 17/20■9 7/10 is read as the mixed number 9 + 7/10■10 9/20 is read as the mixed number 10 + 9/20

Let's evaluate:

17

+ \frac{17}{20}

+ 9

+ \frac{7}{10}

+ 10

+ \frac{9}{20}

ⓘ Start from

17

and move forward

9

on the number line:

17 + 9

26

■Add fractions by using a common denominator and then adding their numerators:

\frac{17}{20} + \frac{7}{10}

\frac{17 + 2 \times 7}{20}

26

+ \frac{17 + 2 \times 7}{20}

+ 10

+ \frac{9}{20}

ⓘ Perform multiplications before additions and subtractions:

2 \times 7

14

■Start from

26

and move forward

10

on the number line:

26 + 10

36

36 + \frac{17 + 14}{20} + \frac{9}{20}

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

17 + 14

31

36 + \frac{31}{20} + \frac{9}{20}

ⓘ Add fractions by using a common denominator and then adding their numerators:

\frac{31}{20} + \frac{9}{20}

\frac{31 + 9}{20}

36 + \frac{31 + 9}{20}

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

31 + 9

40

36 + \frac{40}{20}

We divide the numerator and denominator of

\frac{40}{20}

by the common factor:

20

, which gives the new expression:

2

36 + 2

ⓘ Start from

36

and move forward

2

on the number line:

36 + 2

38

▶Result:

38

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