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Let's first rewrite the exercise as a fraction:
Since the numerator of the fraction contains an addition operation and the denominator of the fraction contains a multiplication operation, we'll break down the exercise into an addition of fractions:
Finally, we can cancel out the s in the numerator and denominator of the first fraction and the s in the numerator and denominator of the second fraction, giving us:
\( 70:(14\times5)= \)
You can only cancel variables that are factors of the entire numerator or denominator. Since we have 12a + 3b (addition), the 'a' is not a factor of the whole numerator, so it can't be canceled directly.
Split fractions when the numerator has addition or subtraction and you want to simplify. Each term in the numerator becomes its own fraction with the same denominator.
Great! If both terms could cancel the same variable, you'd factor it out first. For example:
No, is fully simplified! The terms have different denominators and no common factors to cancel.
This is actually fraction subtraction in reverse! We started with one fraction and split it into two simpler fractions. It's the opposite of finding a common denominator.
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