How To Round Fractions And Mixed Numbers - GeorgeCook960/hello-world GitHub Wiki
There's no question that rounding numbers is a part of our lives. No matter if you are at the grocery store and you want to make sure that you have enough money to pay in cash or if you are trying to determine the tip that you need to leave to the restaurant waitress, you keep rounding numbers on a daily basis even when you don't even notice it.
However, while these life situations shouldn't present you a big problem, a lot of math students simply don't know how to round fractions or mixed numbers. So, today, we decided to tell you exactly how you can round both fractions and mixed numbers.
How To Round Fractions
One of the things that you need to keep in mind about fractions is that the "/" means a division. So, this means that you can get a decimal number or a whole number if you divide the numerator by the denominator. If the division ends in a repeating decimal, you can stop after a certain number of decimal places and round off. So, when you are trying to round a number, you know that you will get an approximate number. Therefore, you need to: #1: Determine the number of places you want, and go one further. #2: Increase the last place you want by one number if the one further is 5 or greater. #3: Leave the last place you want as is, if the one further is less than 5. Make sure to check out our round numbers tool.
Here's an example. Let's say that you want to round the fraction 5/9. As you can see, this fraction won't divide evenly which means that you will have it ending in a repeating decimal. As we already mentioned, 5/9 = 5 ÷ 9 = 0.555555 So, let's assume that you want to round this fraction to three decimal places. In this case, you will need to look at the third decimal place, which is 5. So, you will get the rounding number 0.556. Let's now assume that you want to round the fraction 4/7 to 4 decimal places. Again, this fraction won't divide evenly: 4/7 = 4 ÷ 7 = 0.57142857142857 Since you ant to round it to 4 decimal places, you will need to look at the digit on the right of the fourth decimal place. In this case, it's number 2 and since it is less than 5, you don't round up. So, you will get the rounding number: 0.5714.
How To Round Mixed Numbers to the Nearest Whole
A mixed number is a number that has a whole number and a fraction. It refers to a value that is between two whole numbers. When you want to round a decimal number to the nearest whole number, you need to look at the number in the tenths place. If the number is less than 5, round down. If the number is greater than or equal to 5, round up. Five tenths can be written into a fraction as 5/10 or 1/2. To round mixed numbers to the nearest whole number, you just need to consider the fraction part of the mixed number. If the fraction is less than 1/2, round down to the nearest whole number. If the fraction is greater than or equal to 1/2, round up to the nearest whole number.