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111 LearnersLast updated on March 9th, 2025
33.75 as a Fraction
Numbers can be categorized into different types. A fraction is one such type, represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent a whole and a part of a whole. Decimals represent the fractional part of numbers. For example, in 1/2, the numbers in decimal are expressed with a decimal point (.), such as 33.75. We are going to learn how to convert this decimal to a fraction.
What is 33.75 as a Fraction?
Answer
The answer for 33.75 as a fraction is 135/4.
Explanation
Converting a decimal to a fraction is a task that students can perform easily. You can follow the steps below to find the answer.
Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 33.75 is the number on the numerator, and the base number 1 will be the denominator. Thus, 33.75 becomes 33.75/1.
Step 2: To remove the decimal from the fraction, multiply both the numerator and denominator by 100 (because there are 2 decimal places). 33.75/1 × 100/100 = 3375/100
Step 3: Here, 25 is the GCD of 3375 and 100. Now, to make the fraction simpler, divide the numerator and denominator by 25. 3375/100 = 135/4
Thus, 33.75 can be written as a fraction 135/4.
Important Glossaries for 33.75 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.
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