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

Transcript text: Write the mixed number as a percent. \[ \begin{array}{r} 2 \frac{3}{4} \\ 2 \frac{3}{4}=\square \end{array} \] $\square$ $\%$

Solution

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.

Step 1: Convert Mixed Number to Improper Fraction

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 $\frac{11}{4}$.

Step 2: Convert Improper Fraction to Decimal

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

Step 3: Convert Decimal to Percent

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