To determine which fraction is greater using LCD
Answer to Problem 27CR
Explanation of Solution
Given information:
Expression
Formula Used: Least Common Denominator
Calculation:
The first step here is to identify the Least Common Denominator for both fractions. So, break the denominators into its multiples-
For the other fraction, it is-
In the above fractions, it is clear that the LCD is 6.
In the second step, extract the LCD, and rewrite the fractions as-
And the other one as-
Now our fractions are reduced to
now make the denominators of both fractions same by multiplying each fractions denominator, with the numerator & denominator of the other fraction.
So for first fraction-
And for the second fraction
Now, both the fractions have same denominator 30.
Since 42 is less than 55, so the first fraction is less than the second one.
Conclusion-
Chapter 4 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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