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Calculating in Construction - Decimals to Fractions Decimals to Fractions Lesson Focus This lesson is to help learners understand the relationship between decimals and fractions and to be able to convert a decimal into a fraction. Lesson Plan includes: Lesson instruction for trainers Worksheet and answers Knowledge of the following numeracy skills: Ability to use a calculator for basic operations Ability to read decimals and understand the place value of the digits How this calculating skill can be reinforced on the job: An understanding of the basic number concepts of fractions and decimals is beneficial across General Construction, Plumbing, Civil Construction and Furnishing, such as when converting metric measurements, when reading plans, when calculating and estimating quantities, when using formulae and when working with customer invoices. Lesson time: Approximately 30 minutes Materials needed for this lesson: Worksheets 1 and 2 for each learner Calculator for each learner Whiteboard Lesson breakdown: Suggested delivery strategy: Step Trainer / Learner Activity 1 Introduction or explanation of the term “decimal” 2 Changing one decimal place to a fraction 3 Changing a number with two decimal places to a fraction. 4 Changing a number with three decimal places to a fraction. 5 Learners complete worksheets 1 and 2 with trainer support and answers available. Construction Skills Queensland – Integrated LLN and Learning Support Strategy 1 Calculating in Construction - Decimals to Fractions 1. Introduction or explanation of the term “decimal” Most learners will understand what a decimal is and how it is written, but as an introduction to this lesson it would be beneficial to have a brief discussion of what decimals are. Our number system is based on 10. So in any number the individual digits take on different values depending on the location as shown below – Hundreds Tens Units . Tenths Hundredths Thousandths 13.6 1 ten means 1 3 . 6 3 units and 6 tenths 8.24 means 8 units and 8 . 2 4 2 tenths and 4 hundredths 947.065 means 9 hundreds 4 tens 7 units 9 4 7 . 0 6 5 and 6 hundredths and 5 thousandths Point out to learners how the decimal point separates the whole numbers from the parts of whole numbers. A copy of this reference page is attached at the end of the lesson plan if trainers wish to distribute to learners. Construction Skills Queensland – Integrated LLN and Learning Support Strategy 2 Calculating in Construction - Decimals to Fractions 2. Changing one decimal place to a fraction Discuss the following case on the whiteboard with the learners. Case1 – one decimal place Explain that in a decimal number, the first decimal place represents tenths. So if a decimal number has only one decimal place, it is written as a fraction with a denominator of 10. Then you simplify the fraction if possible. 3 Example 1 0.3 is written as This fraction cannot be simplified. 10 6 Example 2 0.6 is written as This can be simplified by dividing by 2. 10 6 3 10 5 3. Changing a number with two decimal places to a fraction. Discuss the following with learners. Case 2 – two decimal places Explain that the first decimal place represents tenths and the second decimal place is for hundredths. So any decimal number with two decimal places is written as a fraction with a denominator of 100. The fraction is then simplified if possible. 73 Example 1 0.73 is written as 100 This fraction cannot be simplified as there is no number that divides into 73 and 100 evenly. 45 Example 2 0.45 is written as 100 This can be simplified by dividing top and bottom by 5. 45 9 100 20 Construction Skills Queensland – Integrated LLN and Learning Support Strategy 3 Calculating in Construction - Decimals to Fractions 4. Changing a number with three decimal places to a fraction. Discuss the following with learners Case 3 – three decimal places Explain that the third decimal place is for thousandths. Any decimal number with three decimal places can be written as a fraction with a denominator of 1000, and simplified if possible. 359 Example 1 0.359 is written as This fraction cannot be simplified. 1000 462 Example 2 0.462 is written as 1000 This can be simplified by dividing top and bottom by 2. 462 231 1000 500 Point out to learners that if a decimal number has more than 3 decimal places, then the number of places determines the number of zeros in the denominator of the fraction. For example, 5 decimal places would have a fraction with denominator of 100000. 5. Learners complete worksheets 1 and 2 with trainer support and answers available. Construction Skills Queensland – Integrated LLN and Learning Support Strategy 4 Calculating in Construction - Decimals to Fractions Decimals to Fractions Worksheet 1 Express these decimals as fractions. Simplify where possible. Fraction Simplified 1. 0.2 2. 0.3 3. 0.8 4. 0.16 5. 0.71 6. 0.28 7. 0.74 8. 0.607 9. 0.688 10. 0.246 Construction Skills Queensland – Integrated LLN and Learning Support Strategy 5 Calculating in Construction - Decimals to Fractions Decimals to Fractions Worksheet 1 Answers Express these decimals as fractions. Simplify where possible. Fraction Simplified 2 1 1. 0.2 10 5 3 2. 0.3 10 - 8 4 3. 0.8 10 5 16 4 4. 0.16 100 25 71 5. 0.71 100 - 28 7 6. 0.28 100 25 74 37 7. 0.74 100 50 607 8. 0.607 1000 - 688 86 9. 0.688 1000 125 246 123 10. 0.246 1000 500 Construction Skills Queensland – Integrated LLN and Learning Support Strategy 6 Calculating in Construction - Decimals to Fractions Decimals to Fractions Worksheet 2 1. A job requires 0.32kg of sand. Express this amount as a simplified fraction 3 2. Drill bits can come in imperial sizes, for example of an inch. Change the 16 following sizes into fractions of an inch (a) 0.25 of an inch = inches (b) 0.375 of an inch = inches (c) 0.875 of an inch = inches (d) 0.0625 of an inch = inches 3. A section of road which is 0.48 km long needs repairing. What is this as a fraction of a kilometre? of a km 4. At a particular work site, there are three types of employees, 0.4 are permanent, 0.45 are casual and 0.15 are contractors. Express these as fractions of the total workers Construction Skills Queensland – Integrated LLN and Learning Support Strategy 7 Calculating in Construction - Decimals to Fractions Decimals to Fractions Worksheet 2 Answers Construction Skills Queensland – Integrated LLN and Learning Support Strategy 8 Calculating in Construction - Decimals to Fractions Reference Our number system is based on 10. So in any number the individual digits take on different values depending on the location as shown below. Hundreds Tens Units Tenths Hundredths Thousandths 13.6 means 1 3 6 1 ten 3 units and 6 tenths 8.24 means 8 2 4 8 units and 2 tenths and 4 hundredths 947.065 means 9 hundreds 4 tens 7 units 9 4 7 0 6 5 and 6 hundredths and 5 thousandths Construction Skills Queensland – Integrated LLN and Learning Support Strategy 9

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posted: | 7/26/2011 |

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