0.615 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, represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent both whole and fractional parts. Decimals express the fractional part of numbers. For example, 1/2. In decimals, numbers are expressed with a decimal point (.), such as 0.615. We are going to learn how to convert a decimal to a fraction.

What is 0.615 as a Fraction?

$0.615 as a fraction$

Answer

The answer for 0.615 as a fraction is 123/200.

Explanation

Converting a decimal to a fraction is a simple task for students. 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, 0.615 is the number in the numerator, and the base number 1 will be the denominator. Then, 0.615 becomes 0.615/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are three decimal places). 0.615/1 × 1000/1000 = 615/1000

Step 3: The GCD of 615 and 1000 is 5. Now, to make the fraction simpler, divide the numerator and denominator by 5. 615/1000 = 123/200

Hence, 0.615 can be expressed as a fraction of 123/200.

Important Glossaries for 0.615 as a Fraction

Fraction: A numerical quantity that is not a whole number, representing 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.