![]() ![]() Converting between a mixed number and an improper fractionĪ common error is to incorrectly convert between numbers in different formsĮ.g.When you multiply the numerator by a multiple of 10 you must do the same for the denominator, otherwise you are changing the value of the fraction. 1 2 3 4 Converting fractions to decimals To convert a fraction to a decimal, you need to use written division methods to divide the numerator by the denominator. Not multiplying the denominator by the same number as the numerator.To simplify a fraction we need to divide the numerator and the denominator by a common factor. compare and order simple fractions by converting them to fractions with a. Fractions, decimals and percentages Nuffield Free-Standing Mathematics Activity ZFractions, decimals and percentages Student sheets Copiable page 1 of 14. Often questions will say “give your answer in the simplest form” so we need to check whether the fraction can be simplified. i Read and write whole numbers, know what each ix Recognise odd. Use your knowledge of place value to help decide which multiple of 10 to multiple by.Ġ.003 × 10 = 0.03. You must multiply by a power 10 (e.g 10, 100 or 1000) that results in the numerator being an integer (a whole number). Multiplying by an incorrect multiple of \pmb.A marker can be placed at different points on a number line. Pupils use their knowledge of fraction-decimal-percentage conversions to solve conversion problems in a range of contexts. Pupils explain how to convert a percentage to a fraction (without denominator of 100) 30. Step 2: Now that you have the equivalent. Pupils explain how to convert percentages to decimals and fractions (with a denominator of 100) 29. ![]() Remember, multiply the numerator and the denominator by the same number. Prep-up with pre-algebra worksheets on fractions, decimals, integers, ratio, proportion, GCF and LCM, exponents and radicals. ![]() The ITP can be used to refine children’s understanding of the decimal number system and to practise and develop their estimation skills. Step 1: Convert into an equivalent fraction with a denominator of 100. Remember, multiply the numerator and the denominator by the same number. The square ‘show numbers’ button will reveal or hide the numbers above the divisions in the interval. Step 1: Convert ²³ into an equivalent fraction with a denominator of 100. Less obvious divisors may require fall back to dividing the numerator by. For simple fractions with denominators that are easily multiplied to reach 100, the process of finding an equivalent fraction is an easy path to converting a fraction to percentage. Clicking on the circular ‘hide/show’ button will reveal the ten equal divisions between the two selected numbers of the interval. Any fraction, even a mixed fraction, can be converted to a percentage. The maximum and minimum values on the number lines can be altered and the numbered intervals can be hidden and revealed.Ĭlicking on the hidden buttons below the number line creates an interval displayed as a hidden number line. This handy teacher-made resource pack includes handy materials to help you when teaching your pupils how to convert fractions into percentages. You can hide and reveal the numbers in the boxes, which will also hide and reveal the respective numbers in the calculation. ![]() Depending on the order of the two markers you can show the sum and difference between the two numbers and the calculation represented. Two markers with numbered boxes can be moved along the number line. This ITP has been remade so that it will work in modern browsers. The ITP can also be used to demonstrate the effect of repeated multiplication and division by 10.įor more multiplication and division resources click here. The ITP can be used to explore, and to encourage children to predict the effect of multiplying and dividing by 10 and 100. The cards in the second row do not move in order to highlight the shift in the digits when multiplying or dividing. The cards will not move if the result is greater than 99 999 or less than 0.01. The cards in the first row move when the multiply or divide buttons are selected. These decimal numbers can be placed in either of the two middle rows. By dragging cards from the set of digit cards, different decimal numbers can be displayed. This ITP allows you to demonstrate the effect of multiplying and dividing by 10 and 100. They will remain freely available to all without the need for a subscription. The last section involves converting between all three. The third section covers convertig percents to fractions and decimals. The second sections is about converting decimals to percents and fractions. I am remaking the ITPs so that they will work on all modern browsers and tablets. The first section is just converting fractions into decimals and percents. ![]()
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