Solve the following exercise:
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Solve the following exercise:
Let's try to find the lowest common denominator between 2 and 10
To find the lowest 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:
\( 5:6= \)
Because fractions represent parts of a whole! means 1 part out of 2, while means 2 parts out of 10. You need the same-sized parts (same denominator) before you can add them.
List multiples of each number: 2: 2, 4, 6, 8, 10... 10: 10, 20, 30... The smallest number that appears in both lists is 10, so that's your LCD!
Because , so multiplying doesn't change the value! You need to get from denominator 2 to denominator 10, and 2 × 5 = 10, so multiply top and bottom by 5.
No, is already in lowest terms! Since 7 and 10 share no common factors except 1, this fraction cannot be simplified.
Same process! Find the LCD by listing multiples or using prime factorization. For example, LCD of 6 and 8 is 24. The method never changes - just the numbers get bigger.
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