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123 LearnersLast updated on March 8th, 2025
0.735 as a Fraction
Numbers can be categorized into different types. A fraction is one of its kinds. 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, 0.735, we are going to learn how to convert a decimal to a fraction.
What is 0.735 as a Fraction?
Answer
The answer for 0.735 as a fraction will be 147/200.
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, 0.735 is the number on the numerator and the base number 1 will be the denominator. Then, 0.735 becomes 0.735/1.
Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are 3 decimal places). 0.735/1 × 1000/1000 = 735/1000
Step 3: Here 5 is the GCD of 735 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 5. 735/1000 = 147/200 Hence, 0.735 is in the form of the fraction 147/200.
Thus, 0.735 can be written as a fraction 147/200.
Important Glossaries for 0.735 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 two integers without leaving a remainder.
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