What is 4.6 as a fraction?

Fractions can be written in a variety of ways such as decimals and percentages, and it is a useful skill to be able to quickly convert one to another. In this guide, we will walk you through how to convert 4.6 as a decimal to a fraction.

Solution: 4.6 as a fraction is 23/5

Methods

Converting 4.6 to a fraction, Step-by-Step

Step 1:

The first step to converting 4.6 to a fraction is to re-write 4.6 in the form p/q where p and q both are positive integers. To start with, 4.6 can be written as simply 4.6/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 4.6, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 4.6/1 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 4.6/1 each by 10:

4.6×101×10=4610\frac{4.6 × 10}{1 × 10} = \frac{46}{10}

Step 3:

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

4610=235\frac{46}{10} = \frac{23}{5}

Become a Pro at Converting to Fractions

Become a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:

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