1 / 384 = 0.003
Fraction conversions explained:
Convert 1/384 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'. Now, let's solve for how we convert 1/384 into a decimal.
1 / 384 as a percentage | 1 / 384 as a fraction | 1 / 384 as a decimal |
---|---|---|
0.003% - Convert percentages | 1 / 384 | 1 / 384 = 0.003 |
Converting fractions to decimals is as simple as long division. 1 is being divided by 384. 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 (384). This is how we look at our fraction as an equation:
Numerators sit at the top of the fraction, representing the parts of the whole. Small values like 1 means there are less parts to divide into the denominator. 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. So how does our denominator stack up?
Unlike the numerator, denominators represent the total sum of parts, located at the bottom of the fraction. Larger values over fifty like 384 makes conversion to decimals tougher. The good news is that having an even denominator makes it divisible by two. Even if the numerator can't be evenly divided, we can estimate a simplified fraction. Overall, two-digit denominators are no problem with long division. Next, let's go over how to convert a 1/384 to 0.003.
$$ \require{enclose} 384 \enclose{longdiv}{ 1 } $$
To solve, we will use left-to-right long division. This method allows us to solve for pieces of the equation rather than trying to do it all at once.
$$ \require{enclose} 00. \\ 384 \enclose{longdiv}{ 1.0 } $$
We've hit our first challenge. 1 cannot be divided into 384! Place a decimal point in your answer and add a zero. Even though our equation might look bigger, we have not added any additional numbers to the denominator. But now we can divide 384 into 1 + 0 or 10.
$$ \require{enclose} 00.0 \\ 384 \enclose{longdiv}{ 1.0 } $$
Since we've extended our equation we can now divide our numbers, 384 into 10 (remember, we inserted a decimal point into our equation so we we're not accidentally increasing our solution) Multiple this number by our furthest left number, 384, (remember, left-to-right long division) to get our first number to our conversion.
$$ \require{enclose} 00.0 \\ 384 \enclose{longdiv}{ 1.0 } \\ \underline{ 0 \phantom{00} } \\ 10 \phantom{0} $$
If you don't have a remainder, congrats! You've solved the problem and converted 1/384 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. They each bring clarity to numbers and values of every day life. Same goes 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 1/384, 0.003 or 0% in our daily world:
Contracts - Almost all contracts leverage decimal format. If a worker is logging hours, they will log 1.0 hours, not 1 and 1/384 hours. Percentage format is also used in contracts as well.
Distance - Any type of travel, running, walking will leverage fractions. Distance is usually measured by the quarter mile and car travel is usually spoken the same.