86.8 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 86.8, we are going to learn how to convert a decimal to a fraction.

What is 86.8 as a Fraction?

$86.8 as a fraction$

Answer

The answer for 86.8 as a fraction will be 434/5.

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, 86.8 is the number on the numerator and the base number 1 will be the denominator. Then, 86.8 becomes 86.8/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 10 (because there is only one decimal place). 86.8/1 × 10/10 = 868/10

Step 3: Here 2 is the GCD of 868 and 10. Now, to make the fraction simpler, divide the numerator and denominator by 2. 868/10 = 434/5 Hence, 86.8 is in the form of a fraction of 434/5.

Thus, 86.8 can be written as a fraction 434/5.

Important Glossaries for 86.8 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.
Terminating Decimal: A decimal that ends and does not repeat infinitely.