Question

If you eat one quarter of a pizza and your dog eats one eighth of it, what percent is left over?

Answer 1

5/8 after subtraction :)

Explanation:

Answer 2

Answer: The answer is: 62.5 % (left over).

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Explanation:

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`(1)/(4) + (1)/(8) = ?` ;

Change "(1/4)" to: "(?/8)" ;

What is "(?)" ? ;

→ (1/4) = (?/8) ;

notice the denominators;

(1/4) = (?/8) ; In the first fraction, how does the "denominator", "4" ; turn to "8" ? Specifically, since we dealing with "fractions", what number do we multiply "4" by, to get: "8" ??? ;

→ " 4 * ? = 8 " ?? ;

→ " 8 ÷ 4 = ? " ;

= 2 ;

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so " 1/4 = ?/8 " ;

Since we multiply the denominator, "4" ; by "2" , to get:

"8" (the denominator in the other fraction);

we multiply the numerator, "1" ; by "2" ; to get:

"2" (the denominator in the other fraction):

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→ "
`(1)/(4) = ((1*2))/((4*2)) = (2)/(8)` ;

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Now, the amount of the pizza that "you" ate is: "(2/8)" ;

The amount of the pizza eaten by "your dog" is: "(1/8)" ;

Let's add up the amount of pizza eaten:

`(2)/(8) + (1)/(8)  = ((2+1))/(8) = (3)/(8)` .

The total amount of the pizza would be: "
`(8)/(8)` " .

Note: "
`(8)/(8)` = 8 ÷ 8 = 1 whole [pizza].

To find the amount left over, subtract the amount eaten; "(3/8)" ; from the whole pizza; "(8/8)" ; as follows:

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→
`(8)/(8) - (3)/(8) = ((8-3))/(8) = <strong> (5)/(8)` .

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Now, the question asks, what percent is left over? ;

So, we convert "(5/8)" into a percentage;

Change "(5/8)" to: "(?/100)" ;

→ Notice the denominators;

(5/8) = (?/100) ; In the first fraction, how does the "denominator", "8" ; turn to "100" ? Specifically, since we dealing with "fractions", what number do we multiply "8" by, to get: "100" ??? ;

→ " 8 * ? = 100 " ?? ;

→ " 100 ÷ 8 = ? " ;

= 12.5 ;

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so " 5/8 = ?/100 " ;

Since we multiply the denominator, "8" ; by "12.5" , to get:

"100" (the denominator in the other fraction);

we multiply the numerator, "5" ; by "12.5" ; to get:

"2" (the denominator in the other fraction):

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→ "
`(5)/(8) <strong>=</strong> ((5*12.5))/((100*12.5)) <strong>= (62.5)/(100)` ;

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→ [tex]\frac{62.5}{100} = 62.5 % .

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Hope this helpful to you!

Wishing you the best!

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