0.6875 as a Fraction

Answer

The answer for 0.6875 as a fraction is 11/16.

Explanation

Converting a decimal to a fraction is a straightforward process that students can learn 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, 0.6875 is the number in the numerator, and the base number 1 will be the denominator. Thus, 0.6875 becomes 0.6875/1.

Step 2: To eliminate the decimal from a fraction, you need to multiply both the numerator and denominator by 10000 (because there are 4 decimal places). 0.6875/1 × 10000/10000 = 6875/10000

Step 3: The GCD of 6875 and 10000 is 625. Now, to simplify the fraction, divide the numerator and the denominator by 625. 6875/10000 = 11/16 Hence, 0.6875 can be written as the fraction 11/16.

Thus, 0.6875 can be expressed as the fraction 11/16.

• 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 positive integer that divides each of the integers without a remainder.