4.6875 as a Fraction

Answer

The answer for 4.6875 as a fraction will be 75/16.

Explanation

Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 4.6875 is the number on the numerator and the base number 1 will be the denominator. Then, 4.6875 becomes 4.6875/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and the denominator by 10000 (because there are 4 decimal places). 4.6875/1 × 10000/10000 = 46875/10000

Step 3: Here, 625 is the GCD of 46875 and 10000. Now, to make the fraction simpler, divide the numerator and the denominator by 625. 46875/10000 = 75/16 Hence, 4.6875 is in the form of the fraction 75/16.

Thus, 4.6875 can be written as a fraction 75/16.

• 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.

• GCD (Greatest Common Divisor): The largest positive integer that divides the numbers without a remainder, used to simplify fractions.