Solve the following equation:
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Solve the following equation:
We must first identify the lowest common denominator between 4 and 10.
In order to determine the lowest common denominator, we need to find a number that is divisible by both 4 and 10.
In this case, the common denominator is 20.
We will then proceed to multiply each fraction by the appropriate number to reach the denominator 20
We'll multiply the first fraction by 2
We'll multiply the second fraction by 5
Finally we'll combine and obtain the following:
Without calculating, determine whether the quotient in the division exercise is less than 1 or not:
\( 5:6= \)
You can only subtract fractions when they have the same denominator. Think of it like trying to subtract 4 apples from 1 orange - they're different units! You must convert to common denominators first.
List the multiples of each number: 10: 10, 20, 30... and 4: 4, 8, 12, 16, 20.... The first number that appears in both lists is your LCD - in this case, 20.
To get denominator 20: and . Multiplying by equivalent forms of 1 doesn't change the value!
No! Since 3 and 20 share no common factors other than 1, is already in lowest terms. This is your final answer.
If the second fraction is larger than the first, you'll get a negative result - that's perfectly correct! Just make sure to keep track of your negative sign throughout the calculation.
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