Are 3/21 And 5/34 Equivalent Fractions? Explain Your Answer.


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The fraction 3/21 will reduce to 1/7.  The fraction 5/34 will not reduce to 1/7, so they can not be equivalent fractions.
If the answer is not as clear as with this problem, you should rewrite the fractions with a common denominator.  To this, multiply the first fraction by 34/34, which is equal to 1, and multiply the second fraction by 21/21, which is also equal to 1.  Multiplying by 1 does not change the value of a number.
3/21 * 34/34 = 102/714
5/34 * 21/21 = 105/714
The two answers are not equal, so the fractions are not equivalent.

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