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OPERATIONS ON FRACTIONS
MULTIPLICATION
Multiplying Fractions
In multiplying fractions, the product is given by multiplying the numerator by the numerator and denominator by the denominator.
Illustrative Examples:
Solution:
Get the product of the numerators. Also, multiply the denominators.
Since both the numerator and de nominator are divisible by 2. Divide both by 2.
Alternative Solution:
Cancel 2 in the denominator of the first fraction and the numerator of the second fraction since they are both divisible by 2.
Multiply the numerators. Also, multiply the denominators.
DIVISION
Dividing Fractions
When dividing fractions, get the reciprocal of the denominator or the divisor, then proceed to multiplication.
Illustrative Examples:
Solution:
Get the reciprocal of the divisor. Then, proceed to multiplication.
Cancel 4.
Multiply the numerators. Also, multiply the denominators.
Get the reciprocal of the denominator or the divisor, then proceed to multiplication.
Multiply the numerators. Also, multiply the denominators.
ADDITION / SUBTRACTION
Adding / Subtracting Similar Fractions
In adding / subtracting similar fractions, just simply add or subtract the numerator then copy the denominator.
Illustrative Examples:
Solution:
Add the numerators and copy the denominator.
Simplify.
Solution:
Subtract the numerators and copy the denominator.
Adding / Subtracting Dissimilar Fractions
In adding / subtracting dissimilar fractions, first make the denominators of both fractions the same by getting the LCD, then perform the operation.
Illustrative Example:
Solution:
Get the LCD to make the fractions similar. In this case, the LCD is 4.
Add the numerators and copy the denominator.
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