The document provides instructions on how to convert between fractions, decimals, and percentages. It explains that fractions, decimals, and percentages are different ways to express the same number. It gives examples of converting fractions like 6/8 and 7/9 to decimals. It then discusses percentage problems, explaining that to solve "what is x% of y," you first convert the percentage to a decimal and then multiply. It provides examples like finding 23% of 45. Finally, it gives some practice problems for the reader to try.

1. Bell Ringer Change the following fractions into decimals (round if you need to): 6/8 7/9 9/10 8/3

2. So what are we going to do today? Learn how to change between fractions, decimals, and percents. Learn how to handle ‘percent of’ problems

3. First of all, we need to know what EQUALS means: To say that two things are equal is to say that we can substitute one for the other. For example, we can say that 2 + 2 = 4. Both 4 and 2+2 mean the exact same thing. Remote control example…

4. We can express a number in different ways. Fractions Decimals Percents

5. A Condensed Way to Understand Percent Conversion Percent to Decimal: percentage > divide > decimal 37 % = 37 / 100 = .37 Decimal to Percent: decimal > multiply > percent .37 = .37 x 100 = 37%

6. The ‘percentage of’ problem What is 12% 0f 34? What is 13% of 56? What is 78% of 57?

7. To answer these questions First: Change the percentage into a decimal Second: Change the word ‘of’ into a X sign Third: Workout Example: What is 23% of 45 23% = 0.23 and ‘of’ X 0.23 X 45 = 10.35

8. What do these words mean? Anytime you see ‘OUT OF,’ divide. Anytime you see ‘OF,’ multiply. Anytime you see ‘IS,’ put an equal sign. Anytime you see ‘WHAT,’ put a variable.

9. Let’s try one: 120 is what percent of 90? All we are going to do is interpret the sentence. 120 = x * 90 Note: x will need to be a percent (so when we get our decimal, we need to multiply by 100 to get our answer). Now, we just solve for x! 120/90 = x 1.333333 = x But we want ‘x’ as a percent so we need to multiply our decimal by 100. So x = 133.33%

10. 25% of 32 2. 75% of 36 3. What percent of 74 is 222? 150 is what percent of 80? What number is 44% of 6? Try these

11. HOMEWORK Page 407 #5, 7, 8, 12, 18