Solve the following equation:
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Solve the following equation:
Let's first identify the lowest common denominator between 6 and 10.
To determine the lowest common denominator, we need to find a number that is divisible by both 6 and 10.
In this case, the common denominator is 30.
Now we'll 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: 6: 6, 12, 18, 24, 30... and 10: 10, 20, 30... The first number that appears in both lists is your LCD, which is 30.
Because fractions represent parts of a whole! means 8 parts out of 10, while means 2 parts out of 6. You can't subtract different-sized parts directly.
It's always good practice! can be simplified by dividing both numerator and denominator by their greatest common factor (2) to get .
Don't worry! Even if the LCD looks large like 30, the math still works the same way. Just multiply carefully and double-check your arithmetic to avoid errors.
Yes, but it makes the problem harder! You could use 60 instead of 30, but you'd get , which requires more simplification at the end.
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