The basis of converting 188/11 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. Choosing which to use starts with the real life scenario. Fractions are clearer representation of objects (half of a cake, 1/3 of our time) while decimals represent comparison numbers a better (.333 batting average, pricing: $1.50 USD). So let’s dive into how and why you can convert 188/11 into a decimal.
188 / 11 as a percentage 188 / 11 as a fraction 188 / 11 as a decimal 17.091% – Convert percentages 188 / 11 188 / 11 = 17.091
You are viewing: Which Decimal Is Equivalent To 188/11
188/11 is 188 divided by 11
The first step of teaching our students how to convert to and from decimals and fractions is understanding what the fraction is telling is. 188 is being divided into 11. 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(188) / denominator (11) to determine how many whole numbers we have. Then we will continue this process until the number is fully represented as a decimal. Here’s how our equation is set up:
Numerator: 188
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Numerators represent the number of parts being taken from a denominator. 188 is one of the largest two-digit numbers you’ll have to convert. The good news is that 188 is an even number which can simplify equations (sometimes). Values closer to one-hundred make converting to fractions more complex. Time to evaluate 11 at the bottom of our fraction.
Denominator: 11
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Denominators represent the total number of parts, located below the vinculum or fraction bar. 11 is one of the largest two-digit numbers to deal with. But 11 is an odd number. Having an odd denominator like 11 could sometimes be more difficult. Overall, two-digit denominators are no problem with long division. So grab a pen and pencil. Let’s convert 188/11 by hand.
How to convert 188/11 to 17.091
Step 1: Set your long division bracket: denominator / numerator
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$$ require{enclose} 11 enclose{longdiv}{ 188 } $$
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.
Step 2: Solve for how many whole groups you can divide 11 into 188
$$ require{enclose} 00.17 11 enclose{longdiv}{ 188.0 } $$
How many whole groups of 11 can you pull from 1880? 187 Multiply by the left of our equation (11) to get the first number in our solution.
Step 3: Subtract the remainder
$$ require{enclose} 00.17 11 enclose{longdiv}{ 188.0 } underline{ 187 phantom{00} } 1693 phantom{0} $$
If there is no remainder, you’re done! If you still have numbers left over, continue to the next step.
Step 4: Repeat step 3 until you have no remainder
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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 188/11 fraction into a decimal is long division just as you learned in school.
Why should you convert between fractions, decimals, and percentages?
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. And the same is 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. Without them, we’re stuck rounding and guessing. Here are real life examples:
When you should convert 188/11 into a decimal
Investments – Comparing currency, especially on the stock market are great examples of using decimals over fractions.
When to convert 17.091 to 188/11 as a fraction
Progress – If we were writing an essay and the teacher asked how close we are to done. We wouldn’t say .5 of the way there. We’d say we’re half-way there. A fraction here would be more clear and direct.
Practice Decimal Conversion with your Classroom
- If 188/11 = 17.091 what would it be as a percentage?
- What is 1 + 188/11 in decimal form?
- What is 1 – 188/11 in decimal form?
- If we switched the numerator and denominator, what would be our new fraction?
- What is 17.091 + 1/2?
Convert more fractions to decimals
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Convert similar fractions to percentages
From 188 Numerator From 11 Denominator 189/11 as a percentage 188/12 as a percentage 190/11 as a percentage 188/13 as a percentage 191/11 as a percentage 188/14 as a percentage 192/11 as a percentage 188/15 as a percentage 193/11 as a percentage 188/16 as a percentage 194/11 as a percentage 188/17 as a percentage 195/11 as a percentage 188/18 as a percentage 196/11 as a percentage 188/19 as a percentage 197/11 as a percentage 188/20 as a percentage 198/11 as a percentage 188/21 as a percentage
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