What fraction represents 78% when reduced to lowest terms?

What fraction represents 78% when reduced to lowest terms?

• A. 39/50
• B. 19/20
• C. 3/4
• D. 1/2

Answer: (A)

To find the fraction that represents 78%, it is helpful to start by converting the percentage into a fraction. The term "percent" means "per hundred," so 78% can be expressed as 78/100. Next, we need to simplify this fraction to its lowest terms by finding the greatest common divisor (GCD) of the numerator (78) and the denominator (100). The GCD of 78 and 100 is 2, as both numbers can be divided evenly by 2. Now, perform the division: - 78 ÷ 2 = 39 - 100 ÷ 2 = 50 This means that 78% is equivalent to the fraction 39/50 when reduced to lowest terms. This process confirms that the answer representing 78% is indeed 39/50.

To find the fraction that represents 78%, it is helpful to start by converting the percentage into a fraction. The term "percent" means "per hundred," so 78% can be expressed as 78/100.

Next, we need to simplify this fraction to its lowest terms by finding the greatest common divisor (GCD) of the numerator (78) and the denominator (100). The GCD of 78 and 100 is 2, as both numbers can be divided evenly by 2.

Now, perform the division:

• 78 ÷ 2 = 39

• 100 ÷ 2 = 50

This means that 78% is equivalent to the fraction 39/50 when reduced to lowest terms.

This process confirms that the answer representing 78% is indeed 39/50.