Questions: Write the mixed number as a percent. 2 3/4 2 3/4 = %

Solution Steps

To convert a mixed number to a percent, first convert the mixed number to an improper fraction. Then, convert the fraction to a decimal by dividing the numerator by the denominator. Finally, multiply the decimal by 100 to get the percentage.

The mixed number \(2 \frac{3}{4}\) can be converted to an improper fraction by multiplying the whole number by the denominator and adding the numerator: \[ 2 \times 4 + 3 = 11 \] Thus, the improper fraction is \(\frac{11}{4}\).

To convert the fraction \(\frac{11}{4}\) to a decimal, divide the numerator by the denominator: \[ \frac{11}{4} = 2.75 \]

To convert the decimal \(2.75\) to a percent, multiply by 100: \[ 2.75 \times 100 = 275 \]

Final Answer