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Fraction Addition Challenge: Different Denominators

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Add fractions with different denominators.

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Malaysia

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Fraction Addition Challenge: Different Denominators
 

Fraction Addition Challenge: Different DenominatorsOnline version

Add fractions with different denominators.

by MALARKODI A/P RADAKRISHNAN KPM-Guru
1

For 1/3 + 1/4, the common denominator is 12.

2

You can add fractions with different denominators without converting to a common denominator.

3

To convert a/b and c/d, you multiply a by d and c by b, but you do not adjust the denominators.

4

When denominators are 4 and 8, the common denominator is 12.

5

If both fractions are proper, their sum can still be greater than 1 after adding.

6

The result of a/b + c/d is ( a*(LCD/b) + c*(LCD/d) ) / LCD, then you may simplify.

7

The common denominator is always b + d.

8

Convert a/b to a*(LCM(b,d)/b) over the LCD and convert c/d to c*(LCM(b,d)/d) over the LCD.

9

To add a/b and c/d with different denominators, use the least common multiple of b and d as the common denominator.

10

2/3 + 1/5 equals 3/5 after direct addition.

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