Equivalent Fractions
What is the LCD?
Goal:
Goal:
Finding the LCM can be helpful when simplifying fractions, since it will also give you the LCD. You can use the lowest common denominator to find equivalent fractions with common denominators.
Consider the fractions: \(\mathsf{ \frac{4}{9} }\) and \(\mathsf{ \frac{2}{6} }\).
Click the sections of the table below to learn how to use the LCM to find the LCD of the fractions \(\mathsf{ \frac{4}{9} }\) and \(\mathsf{ \frac{2}{6} }\).
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Multiples of 6: 6, 12, 18, 24, 30
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Multiples of 6: 6, 12, 18, 24, 36
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The LCD of your fractions is your LCM. The new common denominator for the fractions \(\mathsf{ \frac{4}{9} }\) and \(\mathsf{ \frac{2}{6} }\) is 18. |
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Create equivalent fractions with the LCD of 18.
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Test what you have learned! Find the LCM to create equivalent fractions with a common denominator for each set below. Click each box to compare your solutions.