![]() It only takes a few simple steps.Ĭlick through the slideshow to learn how to convert a percent into a decimal. 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. By dividing a fraction’s numerator by its denominator (either by using short division or with a calculator), it can become quickly evident that there are two types of resultant decimals, those that terminate and those that recur.In this image, each measuring cup has the same amount of juice in it. ![]() Students test the assertion to see if they can find any counter-examples. The teacher can structure the inquiry by breaking the prompt into two parts, focusing initially on the first part: Any fraction can be converted to a decimal. This allows the teacher to draw on and simultaneously develop students' own questioning about the prompt: Is all, part or none of the statement true? It also allows the teacher to assess the students' existing knowledge through the types of questions they pose or observations they make about the prompt. In line with the aim of the Inquiry Maths model to develop students' curiosity, the question in O'Connor's article is written as a statement. In the article, O'Connor analyses the discourse between a teacher and her grade 5 class that is initiated by the framing question : ‘Can all fractions be turned into decimals?’ What results is a 'position-driven discussion' in which the teacher skilfully manages the pupils' examples, counter-examples, conjectures and conceptions. The prompt was inspired by Mary O'Connor's article published in the research journal Educational Studies in Mathematics in 2001.
0 Comments
Leave a Reply. |