Then multiply them both by ten as many times as you need to get whole numbers on top and bottom. Create a fraction with the decimal as the numerator and "1" as the denominator. To convert a decimal into a fraction, you just have to do the same process in reverse. You show that a decimal repeats by drawing a line over the last two numbers. In some cases, there is no easy way to divide. The result won't always have a simple answer. To turn a fraction into a decimal, divide the numerator by the denominator. Converting fractions into decimal numbersĬonverting fractions to decimals is simple once you know your division. The important thing to know is that, most of the time, you only want to write out to the second decimal place (or the "hundredths" place). That's a bit of an involved process, so we won't go over that step by step here. The best way to calculate decimals is using long division. To keep things simple, we mark off the start of these decimal numbers with a decimal point or period. The number of places we go beyond 1 are called decimal places. With a decimal, though, the numbers go after the 1s place instead of before. It's called a "decimal" because it's done in groups of ten ("dec-" in Latin), like normal numbers. How to handle decimalsĪ decimal is another way of showing a partial number. In general you want to divide down to the smallest numbers you can this is called simplifying fractions. The way to get equivalent fractions is the multiply or divide the top and bottom numbers by the same number. Sometimes fractions can be written differently but have the same value. Improper fractions can also be written out as a mix of a whole number and a fractions. ![]() If the number on top is larger we call it an improper fraction. The number on bottom is called the denominator this is how many of those parts make one whole (Two thirds).īecause a fraction means a "part" of something, we call fractions "proper" if the number on top is smaller than the number on bottom (this means that it is less than 1). The number on top is called the numerator this is the number of parts we have ( Two thirds). To use fractions, we need to figure out what number goes on top, and what goes on bottom. "Two thirds" would be written out as 1/3. A fraction usually means a number of equal parts like "one half" and "two thirds." This is written as one whole number over another whole number. How to tackle fractionsįractions are a common way of writing out partial numbers. Hope this helps.Fractions and decimals are two common ways to write out partial numbers. Reduce this fraction down which gives me 9 over 20. Remember 45% means 45 per which means to divide and cent means 100 so take 45 over 100. Now to move from a percent to a decimal, instead of moving the decimal to the right, move it two places to the left. So let’s go from percentage to decimal to fraction. All you need to do now is reduce by 5 so I divide the top and bottom by 5 so that becomes one twentieth. Now to go to a fraction, remember percent which means 75 per which means division over 100. To go from a decimal to a percent I move my decimal two places to the right so that becomes 75 percent. So it becomes 75.00 now I going to start as a decimal. Now to go from decimal to percent move the decimal to the right two places. 7 times 4 equals is 28 subtract bring down a 2 and a zero so my decimal is. Four will not go into 3 so I add a decimal. If I write that as division I will write three on the inside and four on the outside and I will divide. ![]() To go back from a percent back to fraction use the word percent (per meaning division and cent meaning 100) so know let’s look at some examples. Move your decimal two places to the right. To go from decimal to percent we will do a shuffle to the right. To go from a fraction to a decimal, take the top number (numerator) and divide it by the bottom number (denominator) the numerator goes inside the division bar and the bottom number (denominator) goes on the outside. 75 which is 75 % let’s look at the rules. I will change that to a decimal which is. Today we are going to talk about going from a fraction to decimal to a percent.You can also check your work using the decimal to fraction calculator found on this page.
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