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111 LearnersLast updated on March 5th, 2025
0.775 as a Fraction
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. 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, 0.775. We are going to learn how to convert a decimal to a fraction.
What is 0.775 as a Fraction?
Answer:
The answer for 0.775 as a fraction is 31/40.
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, 0.775 is the numerator and the base number 1 will be the denominator. Then, 0.775 becomes 0.775/1.
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). 0.775/1 × 1000/1000 = 775/1000
Step 3: Here, 25 is the GCD of 775 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 25. 775/1000 = 31/40 Hence, 0.775 is in the form of the fraction 31/40.
Thus, 0.775 can be written as a fraction 31/40.
Important Glossaries for 0.775 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 positive integer that divides the numbers without leaving a remainder.
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