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Math  /  Numbers & Operations

QuestionFind the percent. 15 cents is what percent of 24 cents
15 cents is □\square %\% of 24 cents (Simplify your answer.)

Studdy Solution

STEP 1

1. We are given two amounts: 15 cents and 24 cents.
2. We need to find what percent 15 cents is of 24 cents.
3. The formula to find the percentage is partwhole×100\frac{\text{part}}{\text{whole}} \times 100.

STEP 2

1. Define the formula for percentage.
2. Substitute the given values into the formula.
3. Simplify the expression to find the percentage.

STEP 3

Define the formula to find the percentage.
The formula is:
Percentage=(partwhole)×100\text{Percentage} = \left(\frac{\text{part}}{\text{whole}}\right) \times 100

STEP 4

Substitute the given values into the formula.
Here, the part is 15 cents, and the whole is 24 cents.
Percentage=(1524)×100\text{Percentage} = \left(\frac{15}{24}\right) \times 100

STEP 5

Simplify the expression to find the percentage.
First, simplify the fraction 1524\frac{15}{24}:
1524=58\frac{15}{24} = \frac{5}{8}
Now, calculate the percentage:
Percentage=(58)×100=62.5\text{Percentage} = \left(\frac{5}{8}\right) \times 100 = 62.5
15 cents is 62.5%\boxed{62.5\%} of 24 cents.

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