1 / 397 = 0.003
Fraction conversions explained:
1/397 or 0.003 can be represented in multiple ways (even as a percentage). The key is knowing when we should use each representation and how to easily transition between a fraction, decimal, or percentage. Decimals and Fractions represent parts of numbers, giving us the ability to represent smaller numbers than the whole. In certain scenarios, fractions would make more sense. Ex: baking, meal prep, time discussion, etc. While decimals bring clarity to others including test grades, sale prices, and contract numbers. So let’s dive into how and why you can convert 1/397 into a decimal.
1 / 397 as a percentage | 1 / 397 as a fraction | 1 / 397 as a decimal |
---|---|---|
0.003% - Convert percentages | 1 / 397 | 1 / 397 = 0.003 |
The first step of teaching our students how to convert to and from decimals and fractions is understanding what the fraction is telling is. 1 is being divided into 397. Think of this as our directions and now we just need to be able to assemble the project! Fractions have two parts: Numerators on the top and Denominators on the bottom with a division symbol between or 1 divided by 397. To solve the equation, we must divide the numerator (1) by the denominator (397). Here's how our equation is set up:
Numerators are the portion of total parts, showed at the top of the fraction. Comparatively, 1 is a small number meaning you will have less parts to your equation. The bad news is that it's an odd number which makes it harder to covert in your head. Smaller numerators doesn't mean easier conversions. Let's take a look below the vinculum at 397.
Denominators represent the total parts, located at the bottom of the fraction. 397 is a large number which means you should probably use a calculator. But the bad news is that odd numbers are tougher to simplify. Unfortunately and odd denominator is difficult to simplify unless it's divisible by 3, 5 or 7. Ultimately, don't be afraid of double-digit denominators. So without a calculator, let's convert 1/397 from a fraction to a decimal.
$$ \require{enclose} 397 \enclose{longdiv}{ 1 } $$
Use long division to solve step one. This is the same method we all learned in school when dividing any number against itself and we will use the same process for number conversion as well.
$$ \require{enclose} 00. \\ 397 \enclose{longdiv}{ 1.0 } $$
Uh oh. 397 cannot be divided into 1. So we will have to extend our division problem. Add a decimal point to 1, your numerator, and add an additional zero. This doesn't add any issues to our denominator but now we can divide 397 into 10.
$$ \require{enclose} 00.0 \\ 397 \enclose{longdiv}{ 1.0 } $$
How many whole groups of 397 can you pull from 10? 0 Multiply this number by 397, the denominator to get the first part of your answer!
$$ \require{enclose} 00.0 \\ 397 \enclose{longdiv}{ 1.0 } \\ \underline{ 0 \phantom{00} } \\ 10 \phantom{0} $$
If there is no remainder, you’re done! If you have a remainder over 397, go back. Your solution will need a bit of adjustment. If you have a number less than 397, continue!
In some cases, you'll never reach a remainder of zero. Looking at you pi! And that's okay. Find a place to stop and round to the nearest value.
Converting fractions into decimals are used in everyday life, though we don't always notice. Remember, fractions and decimals are both representations of whole numbers to determine more specific parts of a number. And the same is true for percentages. It’s common for students to hate learning about decimals and fractions because it is tedious. But each represent values in everyday life! Without them, we’re stuck rounding and guessing. Here are real life examples:
Sports Stats - Fractions can be used here, but when comparing percentages, the clearest representation of success is from decimal points. Ex: A player's batting average: .333
Pizza Math - Let's say you're at a birthday party and would like some pizza. You aren't going to ask for 1/4 of the pie. You're going to ask for 2 slices which usually means 2 of 8 or 2/8s (simplified to 1/4).