Simplifying Fractions and Ratios Created by:Maury Middle School Math teachers: Pat Layton 6th grade and Lynn Husen 7th grade.
When will you ever use this? textbook page. 193 What you will learn:. How to express fractions and ratios in simplest form. When will you ever use this? When you want to analyze football scores.
Words You Need To Know 1. Ratio: is a comparison of two numbers by division. Example: The ratio that compares 4 to 16 can be written in several ways. 4 to 16 4 out of 16 4:16 Ratios can be expressed as fractions. In this case, the fraction is 4/16.
You can write the fraction 4/16 as 2/8 and also as 1/4. 2. Equivalent fractions: fractions that name the same number. 3. Simplest form: when the numerator and the denominator have a GCF of 1. Hint: To put fractions in simplest form, reduce the fraction to lowest terms.
Example: 4/10 in simplest form is 2/5. because both 4 and 10 can be divided by 2. 4 divided by 2 is 2, and 10 divided by 2 is 5. Let’s Practice. 14/18 = 7/9 because both 14 and 18 can be divided by what number? 2, 3, or 6. 30/35 = 6/7 because they can be divided by what number? 10, 2, or, 5
Sometimes you will have to find a missing part of a fraction Sometimes you will have to find a missing part of a fraction. When you do this you are finding equivalent fractions. Example: 1/2 is equal to ?/8 HINT: to solve this problem find what number you can multiply 2 by to get 8. In this problem the number is 4. Then simply multiply the 1 by 4 to find the missing number. 2 x 4 = 8 so 1 x 4 = 4 and the new equivalent fraction is 1/2 is equal to 4/8.
Click the check beside the correct answer. Let’s Practice Click the check beside the correct answer. 4/5 = ?/10 6/10 8/10 5/10
Let’s Practice OOPS! Try again.
Let’s Practice YEAH! That is correct!
Click the check beside the correct answer. Let’s Practice Click the check beside the correct answer. 8/9 = ?/27 22/27 24/27 8/27
Let’s Practice OOPS! Try again.
Let’s Practice YEAH! That is correct!
Click the check beside the correct answer. Let’s Practice Click the check beside the correct answer. 3/4 = ?/12 9/12 12/12 6/12
Let’s Practice OOPS! Try again.
Let’s Practice YEAH! That is correct!
Let’s Review How to simplifying fractions and ratios. 1. How can you write the ratio 3 to 12. 2. How can you reduce the fraction 4/16. 3. How can you find the equivalent fraction for 3/5 = ?/20
ARE THERE ANY QUESTIONS? For extra practice visit Mrs. Layton’s Web Site . The address is http://www.geocities.com/Athens/Bridge/9892/index.html Go there now!