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Suppose you have the fractions p/q and r/s. Let the LCM of q and s be t.Then t is a multiple of q as well as of s

so let t= q*u and t = s*v

Then p/q = (p*u)/(q*u) = (p*u)/t

and r/s = (r*v)/(s*v) = (r*v)/t have the same denominators.

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Q: How do you use the LCM to write fractions with a common denominator?
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Related questions

What are some uses of the LCM?

We use the LCM to find the least common denominator of unlike fractions.


How do you use LCM to write two or more fractions with a common denominator?

2/3 + 3/4 The LCM of 3 and 4 is 12. The least common denominator is 12. 2/3 = 8/12 3/4 = 9/12


How do you add nonequivalent fractions?

Find a common denominator, (best is the LCM) Convert both fractions into a form with a common denominator Add numerators, keep sam common denom. Reduce.


How do you add and subtract fractions with no common denominator?

You convert them to equivalent fractions with the a common denominator. This new denominator must be a common multiple of the denominators. The Least Common Multiple (LCM) may be a recommendation but is not necessary. However, using the LCM will keep all the numbers as small as possible and that may be an advantage.


What is the least common denominator of 21 and 7?

The Least Common Denominator (or LCD) is the Least Common Multiple (LCM) of the denominators of a pair of fractions. I assume the 7 and 21 are the denominators of two fractions you need to add or subtract.LCD(7, 21) = 21.


How is HCF and LCM help us in your daily life?

The HCF helps in simplifying fractions and the LCM helps in finding the lowest common denominator in fractions


What is the use of LCM?

When adding or subtracting unlike fractions, the LCM process is used to find the least common denominator.


What is the common denominator for 12 and 13?

There is none because the Least Common Denominator (or LCD) is the Least Common Multiple (LCM) of the denominators of a pair of fractions.


What is the least common denominator of -14?

There is none because the Least Common Denominator (or LCD) is the Least Common Multiple (LCM) of the denominators of a pair of fractions.


Adding unlike fractions?

If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.


How can the greatest common factor and least common multiple help you work with fractions?

Finding the GCF of the numerator and the denominator of a fraction and dividing them both by it will give you the simplest form of that fraction. Finding the LCM of unlike denominators and converting them to it will make it possible to add and subtract unlike fractions.


How do you find the LCM multiple for two fractions?

The LCM is used for integers, not fractions. If you're trying to add unlike fractions, take the LCM of the denominators (known in this case as the least common denominator, or LCD), convert the fractions and proceed.