Solve the following exercise:
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Solve the following exercise:
Let's try to find the least common denominator between 2 and 10
To find the least common denominator, we need to find a number that is divisible by both 2 and 10
In this case, the common denominator is 10
Now we'll multiply each fraction by the appropriate number to reach the denominator 10
We'll multiply the first fraction by 5
We'll multiply the second fraction by 1
Now we'll combine and get:
Without calculating, determine whether the quotient in the division exercise is less than 1 or not:
\( 5:6= \)
Fractions represent parts of a whole. You can't combine (half) and (three tenths) until they represent parts of the same size whole!
Look for the smallest number that both denominators divide into evenly. For 2 and 10: 10 ÷ 2 = 5 (evenly), so 10 is the LCD.
List the multiples of each denominator until you find a match:
The first common number is your LCD!
Yes! Always check if you can simplify. can be simplified to by dividing both parts by 2.
Yes, but using the least common denominator keeps your numbers smaller and easier to work with. Any common denominator will give the same final answer!
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