Question: What is 56.4 as a fraction?


Answer: 56.4 as a fraction is 282/5


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How to convert 56.4 as a fraction?

Solution:56.4 as a fraction is 282/5

Step 1:

The first step to converting 56.4 to a fraction is to re-write 56.4 in the form p/q where p and q are both positive integers. To start with, 56.4 can be written as simply 56.4/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 56.4, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 56.4/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 56.4/1 each by 10:

564/10 / 10/10 = 564 / 10

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer for 56.4 as a fraction:

282/5 / 1

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    Hi, I'm Eric R

    I’m Dr. Eric R., a mathematician with a Ph.D. in applied mathematics. My expertise lies in numerical analysis, nonlinear optimization, and stochastic methods. I’ve worked in interdisciplinary R&D, collaborating with engineers and computer scientists to solve complex mathematical problems, including integrated circuit design.  

     I’ve also taught upper-division mathematics and computer programming as an adjunct professor at UCLA. With over a decade of experience in C++, Matlab, and Python, I enjoy tackling challenging problems. I created Fraction Guru to make fractions easy to understand, providing clear explanations and resources to help students and educators master this essential mathematical concept.

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