1 / 175 = 0.006
Fraction conversions explained:
The basis of converting 1/175 to a decimal begins understanding why the fraction should be handled as a decimal. Fractions and decimals represent parts of a whole, sometimes representing numbers less than 1. 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. If we need to convert a fraction quickly, let's find out how and when we should.
1 / 175 as a percentage | 1 / 175 as a fraction | 1 / 175 as a decimal |
---|---|---|
0.006% - Convert percentages | 1 / 175 | 1 / 175 = 0.006 |
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 175. Think of this as our directions and now we just need to be able to assemble the project! The numerator is the top number in a fraction. The denominator is the bottom number. This is our equation! We use this as our equation: numerator(1) / denominator (175) to determine how many whole numbers we have. Then we will continue this process until the number is fully represented as a decimal. This is our equation:
Numerators represent the number of parts being taken from a denominator. With a value of 1, you will have less complexity to the equation; however, it may not make converting any easier. 1 is an odd number so it might be harder to convert without a calculator. Ultimately, having a small value may not make your fraction easier to convert. Let's take a look at the denominator of our fraction.
Denominators represent the total number of parts, located below the vinculum or fraction bar. 175 is one of the largest two-digit numbers to deal with. But 175 is an odd number. Having an odd denominator like 175 could sometimes be more difficult. Have no fear, large two-digit denominators are all bark no bite. So without a calculator, let's convert 1/175 from a fraction to a decimal.
$$ \require{enclose} 175 \enclose{longdiv}{ 1 } $$
We will be using the left-to-right method of calculation. Yep, same left-to-right method of division we learned in school. This gives us our first clue.
$$ \require{enclose} 00. \\ 175 \enclose{longdiv}{ 1.0 } $$
Because 175 into 1 will equal less than one, we can’t divide less than a whole number. So that means we must add a decimal point and extend our equation with a zero. Even though our equation might look bigger, we have not added any additional numbers to the denominator. But now we can divide 175 into 1 + 0 or 10.
$$ \require{enclose} 00.0 \\ 175 \enclose{longdiv}{ 1.0 } $$
How many whole groups of 175 can you pull from 10? 0 Multiply by the left of our equation (175) to get the first number in our solution.
$$ \require{enclose} 00.0 \\ 175 \enclose{longdiv}{ 1.0 } \\ \underline{ 0 \phantom{00} } \\ 10 \phantom{0} $$
If there is no remainder, you’re done! If you still have numbers left over, continue to the next step.
Remember, sometimes you won't get a remainder of zero and that's okay. Round to the nearest digit and complete the conversion. There you have it! Converting 1/175 fraction into a decimal is long division just as you learned in school.
Converting between fractions and decimals depend on the life situation you need to represent numbers. Remember, they represent numbers and comparisons of whole numbers to show us parts of integers. Same goes for percentages. Though we sometimes overlook the importance of when and how they are used and think they are reserved for passing a math quiz. But each represent values in everyday life! Here are examples of when we should use each.
Finance or Money Related Questions: Imagine if you had $200 to buy a new outfit. If you wait for the items to go on sale, you aren’t going to buy everything for 1/175 off. No, you’ll get everything on 0% discount or 0.006 of the full price.
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).