Question

Determine if each proportion on the left is True or False. Answer options on the right side may be used more than once. 7/12=4/7

Answer 1

Answer: False

Step-by-step explanation

The cross multiplication rule is when we go from A/B = C/D to A*D = B*C

Use this rule to have the following steps

7/12 = 4/7

7*7 = 12*4

49 = 48

The two sides do not agree with each other, so the last equation is false. It means the original equation is false.

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Here's another way to see how the two fractions aren't the same.

Use a calculator to get the following:

• 7/12 = 0.58333333333333 approximately
• 4/7 = 0.57142857142858 approximately

The decimal values are somewhat close, but aren't the same exact value.

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Here's another way to see how 7/12 is not the same as 4/7.

Use a calculator to get

7/12 - 4/7 = 0.01190476190477 approximately

The nonzero result means the fractions aren't equal to each other.

I used the idea that if A = B then A-B = 0.