1 / 309 = 0.003
Fraction conversions explained:
Convert 1/309 to 0.003 decimal form by understanding when to use each form of the number. Fractions and decimals represent parts of a whole, sometimes representing numbers less than 1. Depending on the situation, decimals can be more clear. We don't say 1 and 1/2 dollar. We use the decimal version of $1.50. Same goes for fractions. We will say 'the student got 2 of 3 questions correct'. After deciding on which representation is best, let's dive into how we can convert fractions to decimals.
1 / 309 as a percentage | 1 / 309 as a fraction | 1 / 309 as a decimal |
---|---|---|
0.003% - Convert percentages | 1 / 309 | 1 / 309 = 0.003 |
Converting fractions to decimals is as simple as long division. 1 is being divided by 309. For some, this could be mental math. For others, we should set the equation. The numerator is the top number in a fraction. The denominator is the bottom number. This is our equation! To solve the equation, we must divide the numerator (1) by the denominator (309). Here's 1/309 as our equation:
Numerators sit at the top of the fraction, representing the parts of the whole. 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. Values like 1 doesn't make it easier because they're small. Let's look at the fraction's denominator 309.
Unlike the numerator, denominators represent the total sum of parts, located at the bottom of the fraction. 309 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. Overall, two-digit denominators are no problem with long division. So grab a pen and pencil. Let's convert 1/309 by hand.
$$ \require{enclose} 309 \enclose{longdiv}{ 1 } $$
To solve, we will use left-to-right long division. 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.
$$ \require{enclose} 00. \\ 309 \enclose{longdiv}{ 1.0 } $$
We've hit our first challenge. 1 cannot be divided into 309! So we will have to extend our division problem. Add a decimal point to 1, your numerator, and add an additional zero. Now 309 will be able to divide into 10.
$$ \require{enclose} 00.0 \\ 309 \enclose{longdiv}{ 1.0 } $$
Since we've extended our equation we can now divide our numbers, 309 into 10 (remember, we inserted a decimal point into our equation so we we're not accidentally increasing our solution) Multiply this number by 309, the denominator to get the first part of your answer!
$$ \require{enclose} 00.0 \\ 309 \enclose{longdiv}{ 1.0 } \\ \underline{ 0 \phantom{00} } \\ 10 \phantom{0} $$
If you don't have a remainder, congrats! You've solved the problem and converted 1/309 into 0.003 If you still have numbers left over, continue to the next step.
Sometimes you won't reach a remainder of zero. Rounding to the nearest digit is perfectly acceptable.
Converting between fractions and decimals is a necessity. Remember, fractions and decimals are both representations of whole numbers to determine more specific parts of a number. This is also true for percentages. So we sometimes overlook fractions and decimals because they seem tedious or something we only use in math class. But they all represent how numbers show us value in the real world. Here are just a few ways we use 1/309, 0.003 or 0% in our daily world:
Speed - Let's say you're playing baseball and a Major League scout picks up a radar gun to see how fast you throw. Your MPH will not be 90 and 1/309 MPH. The radar will read: 90.0 MPH. This simplifies the value.
Carpentry - To build a table, you must have the right measurements. When you stretch the tape measure across the piece of wood, you won't see 10.6 inches. You'll see a tick mark at 10 and 3/5 inches.