10.6875 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A fraction is one of its kinds. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, converting the number 10.6875 into a fraction involves understanding how to express it as a fraction.

10.6875 as a Fraction for US Students

What is 10.6875 as a Fraction?

$10.6875 as a fraction$

Answer

The answer for 10.6875 as a fraction is 4275/400 or simplified as 171/16.

Explanation

Converting a decimal to a fraction is a straightforward task. Follow the steps below to find the answer.

Step 1: Initially, convert the decimal number to a fraction. Here, 10.6875 is the number in the numerator, and the base number 1 is the denominator. Thus, 10.6875 becomes 10.6875/1.

Step 2: To remove the decimal, multiply both the numerator and denominator by 10000 (as there are four decimal places). 10.6875/1 × 10000/10000 = 106875/10000

Step 3: Determine the GCD of 106875 and 10000, which is 625. Divide both the numerator and the denominator by 625 to simplify the fraction. 106875/10000 = 4275/400

Step 4: Continue simplifying the fraction. The GCD of 4275 and 400 is 25. Divide both the numerator and denominator by 25. 4275/400 = 171/16

Thus, 10.6875 can be written as a fraction 171/16.

Important Glossaries for 10.6875 as a Fraction

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 divides two or more numbers without a remainder.