Converting Fractions, Decimals, and Percent

OBJECTIVES:
At the end of this module, you should be able to;

Express:

a. fractions to decimal and percent forms

b. decimals to fractions and percent forms

c. percent to fractions and decimal forms

To facilitate computation in business, we usually convert fraction to decimal, fraction to percent, decimal to fraction, or percent to fraction. For example, if the net profit of a partnership is ₱40 000.00 and you, as a partner, share 25% in said profit, it would be easier to change the 25% to a fraction because 25% is 1/4 and 1/4 of ₱40 000.00 is ₱10 000.00. It is easier to divide the ₱40 000.00 by 4 (multiply it by 1/4) than multiply it by 25% or 25/100 or 0.25.

CONCEPTS/GENERALIZATION w/ EXAMPLES

Converting Fraction to Decimals

We said that the line separating the numerator and the denominator of a fraction indicates division. The denominator is the divisor and the numerator is the dividend. To reduce fractions into decimal, we simply perform division. If we want to change 3/4 into decimal, we divide 3 by 4:

Converting Fraction to Percent

To convert fractions to percent, we change the fraction into decimal (by performing division like what we did a while ago) and move the decimal point two places to the right, then affix the percent symbol (%).

Converting Decimal to Fraction

We defined decimals as parts of units divided into any power of 10. We said that if units is divided into 10 parts, we have tenths; into 100 parts, we have hundredths; and so on. Therefore, to change decimal to fraction, we convert a decimal to a fraction with a denominator in multiples of 10 (10, 100, 1000, etc.) and reduce the said fraction to lowest term.

Converting Decimal to Percent

To convert decimal to percent, we move the decimal point two places to the right and affix the percentage sign (%).

Converting Percent to Decimal

To convert percent to decimal, we move the decimal point two places to the left (as in dividing by 100) and we drop the percent sign (%). This is exactly the opposite of what we did when we converted decimal to percent.

Converting Percent to Fraction

To convert percent to fraction, we first change percent to decimal, then change the decimal to fraction and reduce to lowest terms.

Lesson Summary

To convert fraction to decimal, we simply perform division.
To convert fraction to percent, we change the fraction to decimal (by performing division) and move the decimal point two places to the right, affixing the percent sign (%).
To change decimal to fraction, we convert the decimal to a fraction with a denominator in multiples of 10 (10, 100, 1000, etc.) and then reduce said fraction to lowest term.
To convert decimal to percent, we move the decimal point two places to the right and affix the percent sign (%).
To convert percent to decimal, we move the decimal point two places to the left (as in dividing by 100) and we drop the percent sign (%). This is exactly the opposite of converting decimal to percent.
To convert percent to fraction, we first change the percent to decimal and then change the decimal to to fraction and reduce to lowest terms.

EXERCISES

Write the answer for exercises A to F on a piece of paper. Submission is on Google Classroom.

A. Convert the following fractions to decimal. Round to the nearest hundredths.

4/9
11/12
6/6

B. Convert the following decimals to fraction. Simplify.

0.7
0.1235
0.245

C. Convert the following fractions to percent.

1/3
6 1/3
2/5

D. Convert the following percent to fraction.

28%
125%
1%

E. Convert the following decimals to percent.

0.75
1.82

F. Convert the following percent to decimal.

75%
5.64%

EVALUATION

For the evaluation, refer to the following problems below.

Write the problems and your answers on a piece of paper TOGETHER WITH YOUR SOLUTIONS, then take a photo and send it to me via Google Classroom classwork. Please make sure that your handwriting is readable. Rename you file as ABM12_Last Name - MODULE 1. For example, ABM12_Samiano - MODULE 1

Submissions only in our Google Classroom will be accommodated.

Upon submitting, you certify that you already finished this part of the module.

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