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19 September, 23:19

Use the least commom denominator of 10 and 15 to solve 2/10 + 7/15

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  1. 19 September, 23:21
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    The least common denominator of 10 and 15 is 30. It's easiest to use trial and error to find the LCD. In this case, just multiply both numbers by 2 and see if that works. Since 15 doesn't go into 20, I tried multiplying 15 by 2 instead, and got 30, which is divisible by 2. If that doesn't work, move on to multiplying them by 3, then 4 four, and so on. However, in this case, it did work, so, since you multiplied 15 by two to get 30, multiply 7 by two to get the fraction 14/30. Then, since you multiplied 10 by 3 to get 30, multiply 2 by 3 to get 6/30. Then, add the two together to get 20/30 and simplify the fraction to 2/3.

    2/10 + 7/15 Given.

    6/30 + 14/30 LCD.

    20/30 Add.

    2/3 Simplify.
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