![]() ![]() ![]() Converting a percent into a decimalĬonverting a percent into a decimal is surprisingly easy. To learn how, check out our Percentages in Real Life lesson. Knowing how to convert percents and decimals will help you calculate things like sales tax and discounts. Be sure to reduce each fraction to its simplest form! Try This!Ĭonvert these decimals into fractions. If you're adding two fractions, you may even need to reduce or change both fractions so they have a common denominator. But it's important if you're going to use the fraction in a math problem. Reducing a fraction may seem unnecessary when you're converting a decimal. This means 85/100 can be reduced to 17/20. So we'll divide both parts of our fraction by 5.įirst we'll divide the numerator. To reduce, we need to find the largest number that will go evenly into both 85 and 100.ĥ is the largest number that goes evenly into 85 and 100. But it's always a good idea to reduce fractions when we can-it makes them easier to read. 85 hundredths can also be written as 85/100. This means our decimal is equal to 85 hundredths. To convert a decimal, first we'll check the place value of the last number to the right. The place to the right of the tenths place is the hundredths place. In decimals, the number immediately to the right of the decimal point is in the tenths place. To convert a decimal into a fraction, we'll use place values. We're going to rewrite 0.85 as a fraction. Let's convert a decimal into a fraction.Ĭlick through the slideshow to see how to convert a decimal into a fraction. The 0 means we're done dividing.Ĭonvert each of these fractions into a decimal. We'll add another 0 after the decimal point and bring it down. Since 2 is greater than 0, we're not finished dividing yet. We'll also add a decimal point after the 0 on top.Ĥ times 2 equals 8. To keep dividing, we'll add a decimal point and a zero after the 1. To convert a fraction to a decimal, we'll just divide the the denominator. To convert a fraction into a decimal, we'll just divide the numerator. Let's see how we can convert 1/4 into a decimal. To refresh your memory on this skill, you can review our Long Division lesson.Ĭlick through the slideshow to learn how to convert a fraction into a decimal. We'll be using a math skill you've already learned: long division. For example, it's easier to subtract 1/6 from 0.52 if you turn 1/6 into a decimal first. You may not do this very often, but converting decimals and fractions can help you in math. Fractions and decimalsĮvery fraction can also be written as a decimal, and vice versa. Learning how to convert fractions, decimals, and percents will also help you as you learn more advanced math. For example, it's much easier to add 1/4 and 0.5 if you turn 0.5 into a fraction. Sometimes it's useful to convert one kind of number into another. Any time we see 1/2, we'll know it can also mean 50% or 0.5. Since they're expressing the same amount, we know that 1/2, 50%, and 0.5 are equal to each other. But we've expressed this amount in three ways: as a fraction, as a percent, and as a decimal. The total number of students in a class is 45 and in that 27 are boys.In this image, each measuring cup has the same amount of juice in it. ![]() To find the percent how much did Mike eat, we will multiply the fraction with 100ĥ. To convert into a percentage, we will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Convert the following statements in the percentage: To convert into a percentage, we will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Here, we will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Express the following fractions as a percentage: Refer to Percentage Worksheets to clear further queries on the concept.ġ. Here, below we can see the solved examples. ![]() Then we will get the result as a percent. To convert a fraction into a percentage, we will divide the numerator of the fraction by the denominator of the fraction, and then we will multiply the result by 100. In the below sections, we can see how we can convert a fraction into a percentage. If we want to turn a percentage into a decimal, we can just divide by 100. We can represent it using the percentage formula which is defined as a number that can be represented as a fraction of 100. A percent can be represented as a decimal and fraction, which will be a number between zero and one. In this worksheet, we can see about Percentages and how to convert fractions into percentages. ![]()
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