Fractions And Decimals Made Easy

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For example: 3. The number to the left of the decimal point is an ordinary whole number. A decimal can be converted to either a fraction or a percentage. A percentage is a number or ratio expressed as a fraction of Throughout your GCSE Maths exam, you will face several questions which require you to understand the basic principles of decimals and percentages in order to solve problems and convert numerical values. Subsequently, this revision guide will introduce you to the basic principles of decimals and percentages, as well as demonstrating how to use these principles in order to solve mathematical problems.

In the new linear GCSE Maths paper, you will be required to recognise certain properties of decimals and percentages and solve related calculations. Listed below are a series of summaries and worked examples to help you solidify your knowledge about decimals and percentages. A decimal point is used to separate units from parts of a whole.

Therefore, in the number When ordering numbers, you must always compare the digits on the left first. For example, during your exam you may be asked to order decimals according to their value:. Solution a - To order these numbers correctly, you must examine their different units. Both numbers have two units and seven tenths, but 3. Note: If you write a zero at the end of 3. Thus, by looking at 3.

Note: If you are asked to add or subtract a decimal number with a whole number, it is useful to write out the decimal places of this whole number in order to clearly align the decimal points. For example, if asked to add 4. When multiplying decimals, you follow the same rules as when you are multiplying two whole numbers. Therefore, in order to multiply decimals correctly remember that:.

Grade 3 Fractions and Decimals Worksheets - free & printable | K5 Learning

When dividing a decimal by a whole number, divide as usual but, as in previous examples, keep the decimal points correctly aligned. It is also important to note that if you are dividing a decimal by another decimal, you must use equivalent fractions. Remember to always multiply the numerator and denominator by the same number and make sure that the denominator is a whole number. In order to work out this percentage, you must first write the percentage as a fraction or a decimal, then multiply this value by the quantity.

In order to calculate these values, you must find one amount as a percentage of another. To do this, you must form a fraction from the two amounts and multiply this by Calculate the interest generated. Solution a - This type of question is referred to as a simple interest problem, because the amount of money borrowed remains fixed. The question is asking you to generate the amount of interest after 6 years, so you must multiply this value by 6. You may also be asked to solve a profit and loss question. This type of percentage based question involves an item being bought at one price and sold for another.

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What is her percentage of profit made? Solution b - First you must work out the amount of profit made. To calculate Sarah's percentage profit, you must calculate this profit value as a percentage of the original price of the TV.

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To do this, you must divide the profit by the original price and multiply the value by What is the percentage decrease of the games console? Therefore the loss which has occurred is:. Explore all of our fractions worksheets , from dividing shapes into "equal parts" to multiplying and dividing improper fractions and mixed numbers. K5 Learning offers reading and math worksheets , workbooks and an online reading and math program for kids in kindergarten to grade 5. We help your children build good study habits and excel in school.

Buy Workbook. Free Ebook! Bookstore Help Log in. Lessons Worksheets Free Trial. More fractions worksheets Explore all of our fractions worksheets , from dividing shapes into "equal parts" to multiplying and dividing improper fractions and mixed numbers. What is K5? Online lessons 14 day free trial Free lessons Free assessments No credit card required.

Identify fractions - color in the fraction. Identify fractions - write the fraction. Equivalent fractions - color in the fraction. Identify equivalent fractions. Equivalent fractions numerators missing. Equivalent fractions numerators missing - harder version. Equivalent fractions numerators and denominators missing.

Compare 2 proper fractions with same denominator with pie charts.

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Compare 2 proper fractions with pie charts. Compare 2 proper or improper fractions with pie charts. Compare mixed numbers and fractions with pie charts.

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