Convert 51/247 to 0.206 decimal form by understanding when to use each form of the number. Both represent numbers between integers, in some cases defining portions of whole numbers 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. Once we've decided the best way to represent the number, we can dive into how to convert 51/247 into 0.206
Teaching students how to convert fractions uses long division. The great thing about fractions is that the equation is already set for us! The two parts of fractions are numerators and denominators. The numerator is the top number and the denominator is the bottom. And the line between is our division property. We use this as our equation: numerator(51) / denominator (247) 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 you set your equation:
Numerators sit at the top of the fraction, representing the parts of the whole. Overall, 51 is a big number which means you'll have a significant number of parts to your equation. 51 is an odd number so it might be harder to convert without a calculator. Large numerators make converting fractions more complex. Now let's explore the denominator of the fraction.
Unlike the numerator, denominators represent the total sum of parts, located at the bottom of the fraction. 247 is a large number which means you should probably use a calculator. But 247 is an odd number. Having an odd denominator like 247 could sometimes be more difficult. Have no fear, large two-digit denominators are all bark no bite. Next, let's go over how to convert a 51/247 to 0.206.
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.
We've hit our first challenge. 51 cannot be divided into 247! So we will have to extend our division problem. Add a decimal point to 51, your numerator, and add an additional zero. Now 247 will be able to divide into 510.
If your remainder is zero, that's it! If you still have a remainder, 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. Though we sometimes overlook the importance of when and how they are used and think they are reserved for passing a math quiz. But they all represent how numbers show us value in the real world. Here are examples of when we should use each.
Contracts - Almost all contracts leverage decimal format. If a worker is logging hours, they will log 1.20 hours, not 1 and 51/247 hours. Percentage format is also used in contracts as well.
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).
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Fractions Intro Roots of a Number Continued Proportion Percentages Introduction Short Division Complete the Square Decimal Place Value