A customer bought 2/3 pound of roast beef and 1/2 pound of cheese at a deli counter. What is the ratio of roast beef to cheese? Show your labels.
(2/3) / (1/2)
multiply top and bottom by 6
(12/3) / (6/2)
= 4 / 3
lets see think about if you have
2/3 pound of roast beef and 1/2 pound of cheese then lets calculate
2/3
+1/2
------
3/5
easy
your answer was easy to come by, but it did not answer the question.
Also, 2/3 + 1/2 is NOT 3/5
Better review your fractions some before answering questions on them.
To find the ratio of roast beef to cheese, we need to compare the weights of roast beef and cheese. Let's label the weight of roast beef as RB and the weight of cheese as CH.
The customer bought 2/3 pound of roast beef. This means the weight of roast beef is 2/3 pound or RB = 2/3 lb.
The customer also bought 1/2 pound of cheese. This means the weight of cheese is 1/2 pound or CH = 1/2 lb.
Now that we have the labels and weights for both roast beef and cheese, we can write the ratio of roast beef to cheese as RB:CH.
Substituting the given weights, the ratio of roast beef to cheese can be expressed as:
2/3 lb : 1/2 lb
To simplify this ratio, we can find a common denominator for the weights. The least common multiple (LCM) of 3 and 2 is 6. Let's convert the weights to have a denominator of 6.
RB:CH = (2/3)*(2/2) lb : (1/2)*(3/3) lb
= 4/6 lb : 3/6 lb
This simplifies to:
RB:CH = 4:3
Therefore, the ratio of roast beef to cheese is 4:3.