The document outlines a lesson plan for converting fractions, decimals, and percentages, with objectives that include expressing fractions as decimals and percentages, and vice versa. It provides methods for conversions, examples, and exercises for practice, leading to practical applications such as solving business problems. Additionally, it includes riddle-like activities to engage students in applying these concepts.

1. CHANGING FRACTIONS TO DECIMALS
AND PERCENT AND VICE VERSA

2. Lesson Objectives
At the end of this lesson, the students should be able to:
1. express fractions to decimals;
2. convert fractions to percent;
3. change decimals to fractions;
4. express decimals to percent;
5. convert percent to decimals;
6. change percent to fractions; and
7. apply knowledge of conversion to business problems.

3. Let’s Read Numbers!
• 2623.72
• 3767.231

4. Fraction to Decimal and Percent Form
Fraction Decimal Percent

5. Converting Fractions to Decimal
a. Long Division Method
• Simply divide the numerator by denominator.
If we want to change into decimal, we divide 3 by 4:
Therefore, = 0.75
.75
4 3.00 -
28
20
- 20
0

6. Converting Fractions to Decimal
a. Second Method
• Find a number you can multiply by the bottom of the fraction to
make it 10, or 100, or 1000, or any 1 followed by 0s.
• Multiply both top and bottom by that number.
• Write down just the top number, putting the decimal point in the
correct spot (one space from the right side for every zero in the
bottom number).
Ex. Change into decimal

7. Converting Fractions to Decimal
Try this!
• 2

8. Converting Fractions to Percent
To convert fractions into percent, we change the
fractions into decimal and move the decimal point
two places to the right, then affix the percent
symbol (%).

9. Converting Fractions to Percent
Examples:
1.
2.

10. Converting Decimals to Fraction
To change decimals to fraction,
we convert a decimal into a fraction
with a denominator in multiples of 10
(10, 100, 1000, etc.)
and reduce the said fraction
into lowest terms.

11. Converting Decimals to Fraction
Example:
1. 0.75 =
=
=
0.75 has two decimal places.
Our denominator has to have
two zeroes; hence 100.
2. 0.375 =
=
=
0.375 has three decimal
places. Our denominator
should have three zeros;
hence, 1,000.

12. Converting Decimals to Percent
• To convert decimals to percent, we move the decimal point
two places to the right and affix the percent sign (%).
• Or Multiply 100
Example: 1. 0.75 = 75%
2. 1.25 = 125%

13. Converting Percent to Decimals
• To convert percent to decimal,
we move the decimal point two places to the left
and we drop the percent sign (%).
• or divide the percent by 100 and remove the percent sign.

14. Converting Percent to Decimals
Examples:
1. 45% = 0.45
2. 3% = 0.03
3. 23.56% = 0.2356
4. 100% = 1

15. 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.

16. Converting Percent to Fraction
Examples:
1. 14% = 0.14 = =
2. .5% = 0.005 = =
3. 125% = 1.25 = = =
4. 50% = 0.50 = =

17. Exercises:
1. Change 2 to decimal
2. Change to percent
3. Change 1.75 to fraction
4. Change 0.258 to percent
5. Change 6.34% to decimal
6. Change 85% to fraction

18. Answer
1. 2.75
2. 88.89%
3. 7/4
4. 25.8%
5. 0.0634
6. 17/20

19. Activity: Riddle!
“What did the baseball glove say to the
ball”?

20. Activity: Riddle!
1. There are 15 students in a room. Seven of them are boys.
What percent of the boys are there?
2. There are 20 pens. Thirteen of these are blue. Seven are
black. What fraction of the pens are blue?
3. There are 15 pieces of fruit in a basket. There are 3
bananas, 5 apples, and 4 grapes. What fraction of the
fruits are apples?
4. There are 12 puppies. Three are brown and 4 are white.
What fraction of the puppies are brown?

21. Activity: Riddle!
5. There are 18 cups. Four of the cups contain coffee, six of cups
contain milk, and three contain water. What decimal form
contains milk and water?
6. There are 17 balls in a box. Eight of the balls are red and four
of the balls are blue. What decimal form of the balls is blue?
7. Liza got 16 correct answers in 20 items Math Quiz. What
fraction did Liza get correct answers?
8. Maria sells 25 T-shirts, 13 of the T-shirts are sold out.
What fraction of the T-shirts are left?

22. Activity: Riddle!
9. There are 60 pairs of shoes. One–half of the shoes are
rubber shoes one–fifth of the shoes are leather. How many
pairs of shoes are not rubber and leather?
10. There are 56 stones. One–fourth of the stones are white
and one–eight is black. How many stones are not white
and black?