3.6875 as a Fraction

Answer

The answer for 3.6875 as a fraction will be 59/16.

Explanation

Converting a decimal to a fraction is a task that can be accomplished easily by following a few steps. Here's how you can do it:

Step 1: Firstly, convert the decimal number to a fraction for easy calculation. Here, 3.6875 is the number with 1 as the denominator. Then, 3.6875 becomes 3.6875/1.

Step 2: To eliminate the decimal from the fraction, you need to multiply both the numerator and the denominator by 10000 (because there are four decimal places). 3.6875/1 × 10000/10000 = 36875/10000

Step 3: The GCD of 36875 and 10000 is 625. Now, to simplify the fraction, divide the numerator and the denominator by 625. 36875/10000 = 59/16 Hence, 3.6875 is in the fraction form of 59/16.

Thus, 3.6875 can be written as a fraction 59/16.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.
   
• Greatest Common Divisor (GCD): The largest number that can divide both the numerator and denominator without leaving a remainder.