Rewriting Fractions with LCM as Common Denominator - Easy And Fast Math Learning Videos
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Title: Rewriting Fractions with LCM as Common Denominator - Fast And Easy Math Learning Videos
You’ve already learned how to find the least common multiple of two numbers. In this lesson, you’ll learn to use the least common multiple of two numbers to find a common denominator for two fractions.
Here’s an example, one sixth and four ninths. One way to find a common denominator for these two fractions is to use the least common multiple of the denominators. First, let’s find the least common multiple of 6 and 9.
We start with six and list some multiples, as shown here.
Then we take 9 and list some multiples.
The least common multiple is the smallest number included in both of these lists of multiples. In this case, it’s 18.
Now let’s use that as the common denominator to rewrite both fractions.
One-sixth becomes three eighteenths.
And four ninths becomes eight eighteenths.
Another example, three fourths and three tenths. We start by finding the least common multiple of the denominators, 4 and 10.
We start by listing some multiples of four, as shown here.
Then we list some multiples of 10.
The least common multiple is 20.
We now can rewrite the fractions with a common denominator of 20.
Three fourths becomes fifteen twentieths.
And three tenths becomes six twentieths.
Last example, three fourths and one sixth. To find the common denominator, we find the least common multiple.
We list some multiples of 4 as shown here, then some multiples of 6.
The least common multiple is 12.
So, the least common denominator is 12.
We now rewrite each fraction with a denominator of 12.
Three fourths becomes 9 twelfths and one sixth becomes 2 twelfths.
In the remainder of this lesson, you’ll rewrite fractions with a common denominator after using the least common multiple of the denominators to find a common denominator.
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