Explain how you can determine if 1/3 and 4/12 are equivalent fractions

Fractions are equivalent if you can multiply or divide the numerator and denominator by the same factor to equal the other fraction.  In this case 1/3 is equivalent to 4/12 because you can multiply the numerator and denominator of 1/3 by 4 to get 4/12.  

Step-by-step explanation:

Setting up equivalent fractions is similar to proportions, we set the fractions equal to each other and look to see whether they have a factor in common that can be multiplied or divided by both the numerator (top number) or denominator (bottom number) to get the other fraction.  For example: multiplying 1 x 4 = 4 and multiplying 3 x 4 = 12.  So, 1/3 is the same as 4/12.

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step-by-step explanation: