Example: 1/30 and 1/42
Factor the denominators.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Combine the factors, eliminating duplicates.
2 x 3 x 5 x 7 = 210, the LCD
Convert each fraction by multiplying by what's missing.
30 x 7 = 210
42 x 5 = 210
1/30 x 7/7 = 7/210
1/42 x 5/5 = 5/210
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Example: 1/30 and 1/42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Combine the factors, eliminating duplicates.
2 x 3 x 5 x 7 = 210, the LCD
1/30 = 7/210
1/42 = 5/210
Example: 1/30 and 1/42
Their LCD is 210.
Multiply each one by whatever it takes to make 210 in the denominator.
30 x 7 = 210
42 x 5 = 210
1/30 x 7/7 = 7/210
1/42 x 5/5 = 5/210
96 x 1/4 = 24
Find the LCM of the denominators. Example 1: 1/4 + 2/3 The LCM of 3 and 4 is 12, so the common denominator is 12. Convert each fraction to 12ths and add. Example 2: 1/8 + 5/6 The LCM of 6 and 8 is 24, so the common denominator is 24. Convert each fraction to 24ths and add.
You find the largest number that will go into each and divide each by that number.
If a number has equal factors, it is a perfect square and the equal factors would be square roots.
For each & equal