Solve the following exercise:
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Solve the following exercise:
Let's try to find the least common denominator between 5 and 3
To find the least common denominator, we need to find a number that is divisible by both 5 and 3
In this case, the common denominator is 15
Now we'll multiply each fraction by the appropriate number to reach the denominator 15
We'll multiply the first fraction by 3
We'll multiply the second fraction by 5
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 you can only add fractions with the same denominator! Think of it like adding apples and oranges - you need to convert them to the same units first. means 2 parts out of 5, while means 1 part out of 3 - completely different sized pieces!
Since 5 and 3 are both prime numbers, their LCD is simply their product: 5 × 3 = 15. For other numbers, list multiples of each until you find the smallest one they share.
Not always! You multiply each fraction by whatever number makes its denominator equal to the LCD. Here: and both give denominator 15.
That's fine! is already in simplest form since 11 and 15 share no common factors. You could convert it to a mixed number if needed, but improper fractions are perfectly valid answers.
Check if the numerator and denominator have any common factors. For , since 11 is prime and doesn't divide 15, the fraction is already simplified!
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