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multiplying fractions: reducing fractions by common factors
Transcript of multiplying fractions: reducing fractions by common factors
multiply the numerator of the
product, and the denominators of
a product. Example: What fraction is 1/2 of 3/4? The word of in the question means to multiply. We multiply 1/2 and 3/4 to find 1/2 and 3/4.
1/2 x 3/4= 3/8
You find that 1/2 of 3/4 is 3/8. You can illustrate this problem with manipulatives 2nd example: Multiply 3/4 x 2/3.
By performing this multiplication
you will find 3/4 of 2/3. 3/4 x 2/3 = 6/12. The fraction 6/12 can be reduced to 1/2. A whole number can be written as a fraction and 1 as the denominator of the fraction. Thus, the whole numbers are helpful when multiplying whole numbers by fractions. Multiplying fractions: reducing fractions by dividing by common factors Example: 4x2/3. You write 4 as 4/1 and multiply 4/1 x 2/3 = 8/3. Then you con vert the improper fraction 8/3 to a mixed number. 8/3 = 2 2/3. You can reduce fractions by dividing the numerator and denominator by a factor of both numbers. To reduce 6/12 you will divide both the numerator and the denominator by 6. 6/12 divided by 6/6 equals 1/2. You divide both the numerator and the denominator by 6 because 6 is the largest factor (the GCF) of 6 and 12.