Math Problem Statement
Writeequivalentfractionsfor 1 9 and 5 8 usingtheleastcommondenominator.
Type the fractions, using a slash ( / ) to separate the numerator and denominator.
1 9
5 8
Solution
To write equivalent fractions for and using the least common denominator (LCD):
- The denominators are 9 and 8.
- The least common denominator of 9 and 8 is 72 (since ).
Now, convert each fraction to have the denominator of 72:
Thus, the equivalent fractions are:
Do you want further details or have any questions?
Related Questions:
- How do you find the least common denominator for two fractions?
- Can the least common denominator ever be smaller than the product of the denominators?
- How do you simplify fractions after converting them to a common denominator?
- What is the difference between least common multiple (LCM) and least common denominator (LCD)?
- Why is it important to use the least common denominator instead of any common denominator?
Tip:
Always check if the denominators can be simplified or factored to find the least common denominator more efficiently.
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Math Problem Analysis
Mathematical Concepts
Fractions
Least Common Denominator (LCD)
Equivalent Fractions
Formulas
Least common denominator (LCD) = least common multiple (LCM) of the denominators
Equivalent fraction: (numerator × factor)/(denominator × factor)
Theorems
Concept of Least Common Multiple (LCM)
Suitable Grade Level
Grades 5-7