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Tools For Working with Fractions
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Summarizes tools needed to manipulate fractions
Terms in this set (19)
1×32, 2×16, 4×8
Factors: Use rainbow factoring to find all the factors of 32.
2×2×2×5
Prime factors: Find the prime factors of 40 using a factor tree.
24
GCM: Find the greatest common multiple of 4 and 6 by writing out the multiples and selecting the largest multiple found in both.
6
GCF: Find the greatest common factor of 18 and 24 by writing out all the factors and selecting the largest common factor.
2/8
Multiplication Property of 1: Find the equivalent fraction of 1/4 by multiplying it by 2/2.
6/9
Multiplication Property of 1: Use a picture to find the equivalent fraction for 2/3, multiplying by 3/3.
1/2
Division Property of 1: Simplify fraction 3/6 by dividing by 3/3.
1/2
Division Property of 1: Draw a picture to simplify 4/8.
5/8
Compare fractions with QCD: Compare 3/5 and 5/8 by renaming both fractions to have a common denominator. Which fraction is larger?
5/8
Compare fractions by converting into decimals: Which is larger, 3/5 or 5/8?
2/7
Compare fractions by comparing denominators in fractions with like numerators. Which is larger, 2/7 or 1/4 (has equivalent = 2/8)?
3/4
Compare both fractions to one by drawing a picture. Which is larger, 2/3 or 3/4?
numerators: add or subtract
denominators: keep without change
Name the 2 steps of adding and subtracting fractions with like denominators.
Select a fraction and rewrite it to an equivalent fraction whose denominator is the same as the other fraction. Then add numerators and keep denominator.
When adding or subtracting fractions with unlike denominators, what is the additional step that has to be performed before the 2 steps?
numerators: multiply
denominators: multiply (neither can be zero)
What are the 2 steps for multiplying fractions?
common denominator method and reciprocal method
Name the two methods that can be used to divide fractions.
Multiply the first fraction by the reciprocal of the second fraction.
What are the steps for dividing fractions with the reciprocal method?
Rename the dividend and the divisor as fractions with a common denominator. Divide the resulting numerators and keep the denominator.
What are the steps for dividing fractions with the common denominator method?
21/4
Mixed numbers require that you convert them to an improper fraction before using them in equations. What is the improper fraction for 5¼?
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