Solve the following equation:
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Solve the following equation:
Let's begin by identifying the lowest common denominator between 5 and 10.
In order to determine the lowest common denominator, we must find a number that is divisible by both 5 and 10.
In this case, the common denominator is 10.
Now let's proceed to multiply each fraction by the appropriate number to reach the denominator 10.
We'll multiply the first fraction by 2
We'll multiply the second fraction by 1
Finally let's subtract as follows:
Without calculating, determine whether the quotient in the division exercise is less than 1 or not:
\( 5:6= \)
Fractions represent parts of a whole, not separate numbers! You can only subtract fractions when they have the same denominator (same-sized pieces). Think of it like subtracting 8 slices from 10 slices of the same pizza.
List multiples of each number: 5 = 5, 10, 15... and 10 = 10, 20, 30... The smallest number that appears in both lists is 10, so that's your LCD!
Yes! can be simplified by dividing both numerator and denominator by their greatest common factor of 5, giving you .
Convert both fractions to equivalent fractions with the LCD as the denominator. For example, if subtracting , convert both to twelfths: .
Add your answer to the second fraction: . If you get the first fraction back, your subtraction is correct!
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