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Questions and Answers

Which method is used to simplify $rac{3}{9}$?

Divide both numerator and denominator by 3 (correct)

Subtract 3 from both numerator and denominator

Multiply both numerator and denominator by 3

Add 3 to both numerator and denominator

Using the keep, change, flip method, what is the result of $rac{3}{4} ext{ divided by } rac{1}{2}$?

$rac{6}{4}$

$rac{3}{1}$

$rac{3}{2}$

$rac{3}{8}$ (correct)

What is the result of $rac{5}{6} - rac{1}{2}$?

$rac{2}{3}$ (correct)

$rac{1}{3}$

$rac{11}{12}$

$rac{4}{12}$

If $8/20 = N/80$, what is the value of N?

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What is the result of $N$ when solving for $8/20 = N/120$?

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In the equation $N/60 = 8/20$, what will N equal if both fractions are proportional?

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If $12/30 = N/90$, what does N represent?

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Study Notes

Fractions - Addition

If denominators are the same, add the numerators
Example: 1/5 + 3/5 = 4/5

Fractions - Addition (Different Denominators)

Find the least common denominator (LCD)
Multiply the numerator and denominator by the same number to get the LCD
Add the resulting numerators
Example: 1/2 + 3/7 = 7/14 + 6/14 = 13/14

Fractions - Subtraction

If denominators are the same, subtract the numerators
Example: 8/9 - 5/9 = 3/9 = 1/3

Fractions - Subtraction (Different Denominators)

Find the least common denominator (LCD)
Multiply the numerator and denominator by the same number to get the LCD
Subtract the resulting numerators
Example: 3/9 - 1/3 = 1/3 - 1/3 = 0

Fractions - Multiplication

Multiply the numerators and denominators
Simplify the resulting fraction
Example: 1/3 x 3/5 = 3/15 = 1/5

Fractions - Division

Change the division sign to multiplication
Flip the second fraction (reciprocal)
Multiply the fractions
Example: 1/4 ÷ 5/4 = 1/4 x 4/5 = 4/20 = 1/5

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