College

Use the drop-down menus to explain how to use mental math to express [tex]\frac{12}{25}[/tex] as a percent.

1. Multiply both the numerator and the denominator by 4.

2. This results in [tex]\frac{48}{100}[/tex], which is the same as 48%.

3. Therefore, [tex]\frac{12}{25}[/tex] expressed as a percent is 48%.

Answer :

To express [tex]\(\frac{12}{25}\)[/tex] as a percent using mental math, follow these steps:

1. Recognize the Goal: To convert a fraction into a percent, you want the denominator to be 100.

2. Adjust the Fraction: Look at [tex]\(\frac{12}{25}\)[/tex]. To make the denominator 100, you can multiply both the numerator and the denominator by the same number.

3. Calculate the Multiplication: Multiply both the numerator (12) and the denominator (25) by 4.

- Numerator: [tex]\(12 \times 4 = 48\)[/tex]
- Denominator: [tex]\(25 \times 4 = 100\)[/tex]

4. Express as a Percent: Now that the fraction is [tex]\(\frac{48}{100}\)[/tex], this is equivalent to 48%.

So, the fraction [tex]\(\frac{12}{25}\)[/tex] is expressed as 48% when converted to a percentage.