Mrs. Corbett signed 1/2 of all the holiday cards and Mr. Corbett signed 3/8 of all of them. Mrs. Smith will sign the rest of them. If there were 32 cards in all, how many are left to be signed by Mrs. Smith?

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Answer:

4 cards

Step-by-step explanation:

1. Approach

First, find how much ([tex]\frac{1}{2}[/tex]) of all the holiday cards is. Then find out how much [tex]\frac{3}{8}[/tex] of all the cards is. After doing so, subtract both amounts from the total number of holiday cards.

2. Find out how many were signed

To find out how much a fraction of a certain value is, multiply the fraction by the value.

[tex]32*\frac{1}{2}=16\\\\32*\frac{3}{8}=12[/tex]

3. Find out how many were left

Now subtract the number of signed cards from the total number of cards.

[tex]32 -( 16 + 12)\\\\= 32 - 16 - 12\\\\= 16 - 12\\\\= 4[/tex]

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