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Let's try to find the least common denominator between 10 and 5
To find the least common denominator, we need to find a number that is divisible by both 10 and 5
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 1
We'll multiply the second fraction by 2
We'll multiply the third fraction by 1
Now we'll subtract and get:
Without calculating, determine whether the quotient in the division exercise is less than 1 or not:
\( 5:6= \)
You can't subtract numerators and denominators separately because fractions represent parts of a whole. and are different sized pieces - you need the same denominator to compare them!
List the multiples of each number: 5 = 5, 10, 15... and 10 = 10, 20, 30... The smallest common multiple is 10, so that's your LCD.
Negative answers are possible! Just follow the same steps: find the LCD, convert fractions, then subtract. If the first numerator is smaller than what you're subtracting, you'll get a negative result.
Always check if your answer can be simplified! For , since 1 and 10 share no common factors other than 1, it's already in lowest terms.
Yes! You could group the terms differently, like , but you still need the same LCD and will get the same answer.
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