# Conversion of Decimal to Fraction

Lesson Planning of Conversion of Decimal to Fraction and Fraction to Decimal

Subject Mathematics

Students` Learning Outcomes

• Convert a given fraction to decimal if denominator of the fraction is 10 or power of 10.
• Convert fractions (up to three decimal places) into decimals.

Information for teachers

• To convert fraction into decimals we should have denominator 10 or power of 10. If the denominator is not 10 or power of 10 we can make them so by multiplying by suitable number, as; we can make for 2 power of 10 by multiplying it by 5, as;
• Convert decimal into fraction:-
• To convert decimal into fraction write the number as denominator and then simplify it to the lowest term, as;

Material / Resources

Writing board, chalk/marker, duster, pencil, pen, graph paper, ruler, textbook

Introduction

• Who can explain what a fraction is?
• Who can explain what a decimal is?
• Do you remember the hundredth value we shaded on graph paper and presented as 0.01? (In the last class)
• We also said that it is a hundredth part of whole box. (1 / 100)
• This shows us that we can convert fractions into decimals and decimals into fractions.
• Share the objectives of the day.
• Ask them to find a decimal that is equivalent to 1 / 4?
• What method would you use to find this?

Development

 Activity 2 Do as I say: Write a two – digit decimal number. Let it be 0.65. Convert 0.65 to a fraction, as; (65 / 100) Step 1: Note the number of place positions to the right of the decimal point. In this example, 0.65 is 65 hundredths, which is two places to the right of the decimal point. Step 2: Although we have now converted the decimal into a fraction, the fraction is not in its lowest terms. To reduce the new fraction into its lowest or simplest terms, both thee numerator and the denominator must be broken down into primes. Pair work: Working in pairs do the following: Convert 1.73 to a fraction. Convert 0.333 to a fraction. Allocate 15 minutes time to do this. Collect answers on the board. Appreciate the correct work. Allocate questions for pair work.

 Activity 3 Individual work: Write the following questions on board. Ask to give answer in simplified fractions. Allocate time or fix the time. Collect note book for assessment. 0.225, 0.21, 0.519, 0.86, 0.1, 0.9, 0.36, 0.75 Appreciate the correct work. Textbook activity: Ask the students to practice pages given in their mathematics book.

 Activity 4 Draw a circle on the board. Ask what is the fraction for shaded part (1 / 4 or 25 / 100)? What is the decimal number for shaded part? (0.25) Ask what is the fraction for unshaded part? (3 / 4 or 75 / 100) What is the decimal number for unshaded part? (0.75) Let the students talk about all the phases done during the last three sessions.

Sum up / Conclusion

• To convert fractions into decimals we should have denominator 10 or power of 10. If the denominator is not 10 or power of 10 we can make them so by multiplying by suitable number.
• To convert decimals into fractions write the number as denominator and nominator then simplify it to the lowest term.

Assessment

• Complete given table.

 Decimal Fraction .2 .5 .21 .37 .41