Rewrite the problem using the lcd as the denominator of each fraction. 3/4 − 1/3 =

The LCD of 3 and 4 is 12. To make 4 into 12, we multiply it by three, so 3 would also have to be multiply by 3, turning 3/4 into 9/12.

The same thing applies to 1/3, only it needs to be multiplied by 4. So it would become 4/12

9/12 - 4/12 = 5/12

To use the lowest common denominator (LCD), you need to factor each of the numbers. Then you need to see what's common.

3: 1 and 3

4: 2 and 2

Here there's nothing in common, so our common denominator has all the factors - 1, 3, 2, 2. 1 x 3 x 2 x 2 = 12.

3/4 would be 9/12 as we multiply both parts of the fraction by. We get from 4 to 12 by multiplying by 3.

1/3 would be 4/12 as we multiply both parts by 4.

Thus,

3/4 - 1/3 = 9/12 - 4/12 = 5/12

step-by-step explanation:

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