0.175 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

Numbers can be categorized into different types, and fractions are one of them. A fraction 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, in 1/2, the numbers in decimal are expressed with a decimal point (.), such as 0.175. We are going to learn how to convert a decimal to a fraction.

What is 0.175 as a Fraction?

$0.175 as a fraction$

Answer

The answer for 0.175 as a fraction will be 7/40.

Explanation

Converting a decimal to a fraction is a straightforward 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, 0.175 is the number in the numerator, and the base number 1 will be the denominator. Then, 0.175 becomes 0.175/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and the denominator by 1000 (because there are three decimal places). 0.175/1 × 1000/1000 = 175/1000

Step 3: The GCD of 175 and 1000 is 25. Now, to make the fraction simpler, divide the numerator and denominator by 25. 175/1000 = 7/40

Thus, 0.175 can be written as a fraction 7/40.

Important Glossaries for 0.175 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 integer that divides both the numerator and the denominator without leaving a remainder.