7.83333 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. 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, 7.83333, we are going to learn how to convert a decimal to a fraction.

What is 7.83333 as a Fraction?

$7.83333 as a fraction$

Answer

The answer for 7.83333 as a fraction will be 235/30.

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, 7.83333 is the number on the numerator and the base number 1 will be the denominator. Then, 7.83333 becomes 7.83333/1.

Step 2: To remove the repeating decimal from a fraction, you express it as a sum of a whole number and a repeating decimal. Here, 7.83333 can be written as 7 + 0.83333. The repeating decimal 0.83333 is 5/6, so 7.83333 is 7 + 5/6.

Step 3: Convert the mixed number to an improper fraction. 7 + 5/6 = 42/6 + 5/6 = 47/6

Therefore, 7.83333 can be expressed as a fraction 47/6.

Important Glossaries for 7.83333 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.
Repeating Decimal: A decimal that has one or more repeating digits after the decimal point, continuing infinitely.