78.75 as a Fraction

Answer

The answer for 78.75 as a fraction is 315/4.

Explanation

Converting a decimal to a fraction is a straightforward task that can be done by following these steps:

Step 1: First, any decimal number should be expressed as a fraction for simplicity. Here, 78.75 is the number with 1 as the denominator. Thus, 78.75 can be expressed as 78.75/1.

Step 2: To remove the decimal from the fraction, multiply both the numerator and denominator by 100 (since there are two decimal places). 78.75/1 × 100/100 = 7875/100

Step 3: Next, find the greatest common divisor (GCD) of 7875 and 100, which is 25, and divide both the numerator and denominator by this number to simplify the fraction. 7875/100 = 315/4

Thus, 78.75 can be written as a fraction 315/4.

• Fraction: A numerical quantity that consists of a numerator and a denominator, representing parts of a whole.
   
• Decimal: A number that includes a decimal point, separating the whole number from the fractional part.
   
• Numerator: The upper part of a fraction, indicating how many parts are being considered.
   
• Denominator: The lower part of a fraction, showing the total number of equal parts that make up a whole.
   
• Greatest Common Divisor (GCD): The largest positive integer that divides two numbers without leaving a remainder, used to simplify fractions.