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Ex: 3/a + 4/b = 7, LCD is ab

ab x (3/a) + ab x (4/b) = ab x 7

3b + 4a = 7ab so that the denominators have cancelled.

a and b can represent binomials, monomials, polynomials, etc.

EX: 3/(x+2) + 4/(x-5) = 7 multiply by ab = (x+2)(x-5)

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11y ago
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11y ago

When they are relatively prime, that is, when their GCF is 1.

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Q: When can you multiply the denominators to find the LCD?
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Related questions

What is the lcd of 3 over 4?

To find an LCD, you need to have at least two denominators.


Can you always cross multiply rational expressions?

If you need to simplify a rational expression with two or more terms, you need to find the LCD in order to write the expression as a single fraction. If the denominators have not common factors, then the only way is to multiply each numerator with the all denominators of the other terms. If you have an equation in the proportion form, then cross multiply. If both sides of the equation have more than two rational terms, then work at both sides until you have a proportion, then cross multiply. But I would prefer to multiply each term at both sides by the LCD in order to eliminate the denominators.


Do you find common denominators when you multiply fractions?

No.


How would you find the LCD when adding or subtracting rational expressions with different denominators?

No


IS THE LCD OF TWO FRACTIONS THE SAME AS THE LCM NUMERATORS AND FRACTIONS?

The LCD of two fractions is the same as the LCM of their denominators.


If two fraction have unlike denominators then is the Lcd the product of their denominators?

I was told the Lcd is 4 not 8 is that true


How can you get a dcommon denominator?

You can multiply the two denominators, or you can find the least common multiple for the two denominators.


What is the least common denominator of 160?

You need at least two denominators to find an LCD.


What is the least common denominator of 45?

You need at least two denominators to find an LCD. If that's 4 and 5, the LCD is 20.


Where to find common denominators?

Multiply any two denominators together. Their product will be a common denominator of them both.


Explain how comparing fractions with like denominators differs from comparing fractions with unlike denominators?

Because when you compare fractions with the same denominators, you do not have to find the least common denominator (LCM or LCD).


How do you common denominators for 3.5 and 1.4?

If those are both denominators, multiply their fractions by 10/10 to get rid of the decimal points. The LCD of 35 and 14 is 70. Convert them to equivalent fractions with a denominator of 70.