Math Tutor Explains: What is 6.328 as a fraction?

"Fractions can be expressed in different forms, including decimals and percentages, making it a valuable skill to convert between them quickly. A math tutor can help simplify this process, ensuring a strong understanding of number conversions. In this guide, we’ll walk you through how to convert 6.328 from a decimal to a fraction step by step."

Math Tutor's Solution: 6.328 as a fraction is 791/125

Methods

Converting 6.328 to a fraction, Step-by-Step from a Math Tutor

Step 1:

The first step to converting 6.328 to a fraction is to re-write 6.328 in the form p/q where p and q both are positive integers. To start with, 6.328 can be written as simply 6.328/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 6.328, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 6.328/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 6.328/1 each by 1000:

6.328×10001×1000=63281000\frac{6.328 × 1000}{1 × 1000} = \frac{6328}{1000}

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:

63281000=791125\frac{6328}{1000} = \frac{791}{125}

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