3.46 as a Fraction

Professor Greenline Explaining Math Concepts

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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. Numbers in decimal form are expressed with a decimal point (.), for example, 3.46. We are going to learn how to convert a decimal to a fraction.

What is 3.46 as a Fraction?

$3.46 as a fraction$

Answer

The answer for 3.46 as a fraction is 173/50.

Explanation

Converting a decimal to a fraction is a task that students can accomplish 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, 3.46 is the number on the numerator and the base number 1 will be the denominator. Then, 3.46 becomes 3.46/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and the denominator by 100 (because there are 2 decimal places). 3.46/1 × 100/100 = 346/100

Step 3: Here, 2 is the GCD of 346 and 100. Now, to make the fraction simpler, divide the numerator and the denominator by 2. 346/100 = 173/50 Hence, 3.46 is in the fractional form of 173/50.

Thus, 3.46 can be written as a fraction 173/50.

Important Glossaries for 3.46 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 a remainder. ```