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Fractions

Reducing to the Least Common Denominator

To reduce a fraction to the Least Common Denominator, you must factor each of the denominators into primes. Then for each different prime number in all of the factorizations, do the following...

1. Count the number of times each prime number appears in each of the factorizations.
2. For each prime number, take the largest of these counts and write the result.
3. The least common denominator is the product of all the prime numbers written down.

Reduce to the Least Common Denominator $\fs2\frac{3}{4}\;and\;\frac{5}{6}$

Note that l.c.d (4,6)=12. Then for each fraction, divide the denominator and multiply the fraction by the result.
Look at the first fraction $\fs2\frac{12}{4}=3\;\;\;\frac{3\cdot3}{4\cdot3}=\frac{9}{12}$ and the second one $\fs2\frac{12}{6}=2\;\;\;\frac{5\cdot2}{6\cdot2}=\frac{10}{12}$
The result is: $\fs2\frac{9}{12}\;and\;\frac{10}{12}$

Reduce $\frac{2}{4}$ and $\frac{4}{2}$ to the Least Common Denominator
 Solution: and