Solve the following exercise:
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Solve the following exercise:
Let's try to find the lowest common denominator between 5 and 15
To find the lowest common denominator, we need to find a number that is divisible by both 5 and 15
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 1
Now we'll combine and get:
Without calculating, determine whether the quotient in the division exercise is less than 1 or not:
\( 5:6= \)
The LCD is the smallest number that both denominators divide into evenly. Since 15 ÷ 5 = 3 and 15 ÷ 15 = 1, we know 15 works perfectly without going to larger numbers like 75.
Divide the LCD by each denominator: 15 ÷ 5 = 3, so multiply by 3. And 15 ÷ 15 = 1, so stays the same.
Yes! can be simplified to by dividing both numerator and denominator by 5. Always check if your answer can be reduced to lowest terms.
That's okay! Sometimes you need to find multiples. List multiples of both denominators until you find the smallest common one. For example: 5, 10, 15, 20... and 15, 30, 45...
Not always! In this problem, already has the LCD as its denominator, so it doesn't change. Only convert fractions that don't already have the LCD.
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