SOLUTION: Simplify complex fraction
1/2 +1/3 divided by 1-1/6
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Question 363626: Simplify complex fraction
1/2 +1/3 divided by 1-1/6
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
This simplest way to simplify a complex fraction, IMHO, is to- Find the Lowest Common Denominator (LCD) of all the denominators of the "little" fractions
- Multiply the numerator and denominator of the "big" fraction by the LCD found in step #1.
Let's see how this works on your complex fractions. The "little" fractions are 1/2, 1/3 and 1/6. The LCD of 2, 3 and 6 is 6. So we will multiply the numerator and denominator of the "big" fraction by 6:
To multiply correctly we will need to use the Distributive Property in both the numerator and denominator:
Notice how all the "little" fractions disappear when you multiply by the LCD!
which simplifies to 1!
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