Solve the following equation:
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Solve the following equation:
Let's first identify the lowest common denominator between 10 and 6.
In order to determine the lowest common denominator, we need to find a number that is divisible by both 10 and 6.
In this case, the common denominator is 30.
We will then proceed to multiply each fraction by the appropriate number to reach the denominator 30.
We'll multiply the first fraction by 3
We'll multiply the second fraction by 5
Now let's subtract:
Without calculating, determine whether the quotient in the division exercise is less than 1 or not:
\( 5:6= \)
List multiples of each number: 10: 10, 20, 30, 40... and 6: 6, 12, 18, 24, 30... The first common multiple is 30, so that's your LCD!
You can only add or subtract fractions when they have the same denominator. Think of it like trying to subtract 7 apples from 2 oranges - you need the same "unit" first!
That's actually a great idea! , so you'd solve . The LCD of 10 and 3 is still 30, giving the same answer.
Divide the LCD by each denominator: 30 ÷ 10 = 3 and 30 ÷ 6 = 5. So multiply the first fraction by 3 and the second by 5.
is already in lowest terms because 11 and 30 share no common factors other than 1. You're done!
If you pick a number that's too small (like 15), it won't work as a common denominator. If it's too big (like 60), you'll still get the right answer, just with more work!
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