Questions: Write the decimal as a fraction in simplified form. 0.75 0.75 = (Simplify your answer.)

$Write the decimal as a fraction in simplified form. 0.75 0.75 = (Simplify your answer.)$

Transcript text: Write the decimal as a fraction in simplified form. \[ 0.75 \] $0.75=$ $\square$ (Simplify your answer.)

Solution

Solution Steps

To convert a decimal to a fraction, identify the place value of the last digit. For 0.75, the last digit is in the hundredths place, so the fraction is 75/100. Simplify this fraction by finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by this number.

Step 1: Convert Decimal to Fraction

To convert the decimal $0.75$ to a fraction, we recognize that it can be expressed as: \[ \frac{75}{100} \]

Step 2: Simplify the Fraction

Next, we simplify the fraction $\frac{75}{100}$ by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of $75$ and $100$ is $25$. Therefore, we divide both the numerator and the denominator by $25$: \[ \frac{75 \div 25}{100 \div 25} = \frac{3}{4} \]