Ms. Garcia Math
Like fractions
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The different fractions with the same denominator are
Like Fractions.
1/4 and 3/4 are like fractions
Adding like fractions
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When fractions having the same denominator, as 1/8 and 3/8, are added, only the numerators are added, and their sum is then written over the common denominator.
LCD Lowest Common Denominator
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The least (or lowest) common denominator of two (or more) fractions is the smallest number into which all their denominators will divide.
For the fractions 1/3 and 1/8 the LCD is 24
Adding unlike fractions
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When adding fractions with unlike denominators
1) Find the lowest common denominator
2) Find the equivalent fractions.
3) Add the fractions
4) Simplify if necessary or change to a mixed number.
Subtracting unlike fractions
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When subtracting fractions with unlike denominators
1) Find the lowest common denominator
2) Find the equivalent fractions.
3) Subtract the fractions
4) Simplify if necessary or change to a mixed number.
Simplify Fractions (reducing).
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(1) Do the factor tree for both numbers.
(2) Find what they have in common and divide numerator (top) and denominator (bottom) by that number, therefore renaming it to an equivalent fraction in lower terms.
Multiplication of Fractions
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(1) Multiply the numerators (tops) and multiply the denominators (bottoms), (2) then reduce the answer to lowest terms.
Dividing fractions
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To divide any number by a fraction:
Multiply the number by the reciprocal of the fraction. Simplify the resulting fraction if possible.
Check your answer
Convert Mixed Numbers to Improper Fractions
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(1) Multiply the denominator with the whole number.
(2) Add the numerator to the product
(3) The sum is the new denominator
(4) The denominator stays the same.
Convert Improper Fractions to Mixed Numbers
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(1) Divide. The numerator goes inside the radical and the denominator goes outside.
(2) The quotient is the whole number.
(3) The remainder is the numerator.
(4) The denominator stays the same.
(5) Simplify if necessary.
If there is no remainder, there is no fraction.