# 4.07 as a Fraction: A Quick Explanation

## Understanding 4.07 as a Decimal

First, let’s take a look at 4.07 as a decimal. A decimal is a number represented in base 10, meaning that each digit corresponds to a power of 10. In the case of 4.07, the 4 stands for 4 ones, the 0 stands for 0 tenths, and the 7 stands for 7 hundredths. To put it another way, 4.07 = 4 + 0.1 + 0.07.

## Converting to a Fraction

Now that we understand what 4.07 means as a decimal, we can convert it to a fraction. To do this, we’ll need to multiply both the numerator and the denominator by 10 to the power of the number of decimal places. In this case, there are two decimal places, so we’ll multiply both the numerator and denominator by 100. This gives us the fraction 407/100.

## Simplifying the Fraction

At this point, we have the fraction 407/100, which can be simplified further by finding the greatest common factor (GCF) of 407 and 100. The GCF is 1, so the fraction simplifies to 407/100 = 4.07/1 = 4.07. This is the same value we started with, so we know we’ve done it correctly.

## Conclusion

By understanding how decimals work and how to convert them to fractions, we were able to answer the question, “What is 4.07 as a fraction?” We found that 4.07 as a fraction is 407/100, which can be simplified to 4.07/1. Knowing how to convert decimals to fractions can help you solve a variety of mathematical problems, so it’s an important skill to have.