SOLUTION: Is the rate 1/4 cup of butter /4 eggs equivalent to the rate 3 cups of butter /48 eggs? 1/4 cup of butter is the numerator and 4 eggs the denominator. 3 cups of butter is the nume

Question 255397: Is the rate 1/4 cup of butter /4 eggs equivalent to the rate 3 cups of butter /48 eggs?
1/4 cup of butter is the numerator and 4 eggs the denominator. 3 cups of butter is the numerator and 48 eggs is the denominator in the second fraction.
I can simplify the second fraction of 3/48 to 1/16 but not sure what to do with the first fraction since it has a fraction for a numerator. I know I must simplify both fractions to find out if they are equivalent.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
In general, it is true that

and

given:

Multiply top and bottom by

and, also,

The two ratios are both equal to 1/16
RELATED QUESTIONS
A chemist has 400 ml of solution that is 21% acid. How many ml of acid are in the... (answered by stanbon)

2/3 cup butter, 5 ounces unsweetened chocolate, 1 1/2 cups sugar, 2 teaspoons vanilla, 2... (answered by josgarithmetic)

The list of ingredients for chocolate brownies below will make 16 brownies. Use the list (answered by richwmiller,josmiceli)

this is a list of ingredients to make 16 brownies. use this list to answer both... (answered by checkley71,stanbon)

If the same number is added to both the numerator and the denominator of the amount of... (answered by josgarithmetic,greenestamps)

On Friday evening, Mr. Brown wanted to make a chocolate cake, but did not want to make a... (answered by TimothyLamb,MathLover1)

If you have 8 cups of milk at 1% butter fat and want to add milk that is 4% butter fat so (answered by josmiceli,tommyt3rd)

Darcy likes to eat peanut butter and raisins on apple slices. On each apple slice she... (answered by ikleyn)

Benton used 3/4 of a cup of butter to make a batch of cookie dough. Benton rolled the... (answered by CubeyThePenguin)