explain 17 17/20 + 9 7/10 + 10 9/20 — step-by-step solution

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

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

Let's calculate:

17

+ \frac{17}{20}

+ 9

+ \frac{7}{10}

+ 10

+ \frac{9}{20}

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

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

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

ℹ

17 + 9

26

26

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

+ 10

+ \frac{9}{20}

ⓘMultiplications are done before additions and subtractions:

2 \times 7

14

ℹ

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}

ℹ

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

\frac{31 + 9}{20}

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

ℹ

31 + 9

40

36 + \frac{40}{20}

This fraction:

\frac{40}{20}

simplifies by the common factor:

20

into the new expression:

2

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

20

\frac{40}{20}

\frac{2 \times 20}{1 \times 20}

\frac{2}{1}

36 + 2

▶Result:

38