Equivalent Fractions and Simplest Form

Modified By Ms. Strait4th GradeEQUIVALENT FRACTIONS

WHAT ARE THE PARTS OF A FRACTION?Denominator: Is the number on the bottom that shows the entire amount.Numerator: Is the number on the top that shows part of the entire amount.24NumeratorDenominator

How many people go to tutoring?We need a numerator and denominator.

LETS CREATE OUR OWN FRACTIONS

Find the greatest common factor (GCF) of the numerator and denominator.Divide both numbers by the GCF.WRITING FRACTIONS IN SIMPLEST FORM.

9 28 44 36 18 49 121 72 WRITING FRACTIONS IN SIMPLEST FORM.

VOCABULARY: EQUIVALENT FRACTIONSEquivalent fractions are fractions that name the same amount.24=48

CREATING EQUIVALENT FRACTIONSMultiply the numerator and denominator by the same number.35We can choose any number to multiply by. Lets multiply by 2.x 2x 2=610So, 3/5 is equivalent to 6/10.

CREATING EQUIVALENT FRACTIONSDivide the numerator and denominator by a common factor. (It has to be a common factor to work with division.)610To divide we MUST use a common factor. What number is a common factor of 6 ? 2 2=35So, 3/5 is equivalent to 6/10.10

For larger numbers, make equivalent fractions using division. Remember, divide by a common factor.2835In this example, we can divide both numbers by 7. 7 7=4528/35 is equivalent to 4/5.

VOCABULARY: SIMPLEST FORMFractions are in simplest form when the numerator and denominator do not have any common factors besides 1.Examples of fractions that are in simplest form:4521138

VOCABULARY: SIMPLIFYSimplify means to reduce a fraction to its simplest form.

EXAMPLE:2028201 x 202 x 104 x 5281 x 282 x 144 x 720: 1, 2, 4, 5, 10, 2028: 1, 2, 4, 7, 14, 28Common Factors: 1, 2, 4GCF: 4 4 4=57Simplest Form

Benchmark fractions are common fractions that can help you order fractions.

Example: , , , 0, and 1WHAT IN THE WORLD ARE BENCHMARK FRACTIONS?

*STRATEGIES FOR ORDERING FRACTIONS

Same denominatorSame numeratorBenchmarks: close to 0, 1, 1/2

WORK TIME

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