40.16 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

Numbers can be categorized into different types. A fraction is one such type. 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, 40.16, we are going to learn how to convert a decimal to a fraction.

What is 40.16 as a Fraction?

$40.16 as a fraction$

Answer

The answer for 40.16 as a fraction will be 1004/25.

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, 40.16 is the number on the numerator and the base number 1 will be the denominator. Then, 40.16 becomes 40.16/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 100 (because there are two decimal places). 40.16/1 × 100/100 = 4016/100

Step 3: Here 4 is the GCD of 4016 and 100. Now, to make the fraction simpler, divide the numerator and denominator by 4. 4016/100 = 1004/25 hence, 40.16 is in the form of the fraction 1004/25

Thus, 40.16 can be written as a fraction 1004/25.

Important Glossaries for 40.16 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 both the numerator and the denominator without leaving a remainder.