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ELEN [110]
3 years ago
6

2/3 to 3/2 ratio in simplest form

Mathematics
1 answer:
ale4655 [162]3 years ago
4 0

Answer:

2/3 : 3/2 = 4 : 9

Step-by-step explanation:

LCD(2/3, 3/2) = 6

2/3 : 3/2 = 4/6 : 9/6

Our two fractions now have like denominators so we can multiply both by 6 to eliminate the denominators.

2/3 : 3/2 = 4 : 9

The GCF of 4 and 9 is 1

Divide both terms by the GCF, 1:

4 ÷ 1 = 4

9 ÷ 1 = 9

The ratio 4 : 9 cannot be reduced further by dividing both terms by the GCF = 1 :

Therefore:

2/3 : 3/2 = 4 : 9

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3 years ago
You buy milk that contains 180 calories per 2 cups. Use a ratio table to find the number of calories in 5.5 cups.
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Answer:

The number of calories in 5.5 cups are <u>495</u>.

Step-by-step explanation:

Given:

You buy milk that contains 180 calories per 2 cups.

Now, to find the number of calories in 5.5 cups.

Let the number of calories in 5.5 cups be x.

As, in 2 cups there are 180 calories.

2 cups is equivalent to 180 calories.

Thus, the ratio would be 2:180.

So, in 5.5 cups there are x calories.

5.5 cups is equivalent to x calories.

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Now, we set proportion to get the number of calories in 5.5 cups:

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<em>Dividing both sides by 2 we get:</em>

x=495.

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