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Number Sense
Lesson 2
Number Theory
 Objectives/Vocab/Tips > Examples 1 | 2 | 3 > Practice: 1 | 2 | 3 | 4 | 5 | 6 > Reflection

Example 3:

Reduce the following fraction to lowest terms.

48/132

  1. 24/66
  2. 20/44
  3. 12/33
  4. 4/11

Here is one way to solve this problem:

Step 1: Find the greatest common factor, GCF, for 48 and 132. Begin by finding the factor pairs for each.

  • 48 - 1*48, 2*24, 3*16, 4*12, 6*8
  • 132 - 1*132, 2*66, 3*44, 4*33, 6*22, 11*12

Step 2: Put the factors in order from least to greatest.

  • 48 - 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
  • 132 - 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Step 3: Find the greatest factor common to both numbers.

The greatest common factor is 12.

Step 4: To reduce our fraction to lowest terms, we now divide both numerator and denominator by 12.

  • 48 divided 12 = 4
  • 132 divided by 12 = 11

Step 5: Our reduced fraction is 4/11, letter D.

Practice 1 >>

 

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