Simplifying Ratios and Fractions

This video tutorial covers the process of simplifying ratios that involve fractions. It begins with an introduction to the concept and then provides four detailed examples, each demonstrating different methods of simplification. The video explains how to find common denominators, convert mixed numbers to improper fractions, and simplify ratios to their simplest form. It concludes with a summary and links to additional resources for further learning.

What is the first step in simplifying ratios that involve fractions?

• Find the greatest common factor.

• Multiply the fractions by 10.

• Find the lowest common denominator.

• Convert fractions to decimals.

In the example of simplifying 2/5 to 7/10, what is the lowest common denominator used?

• 5

• 7

• 10

• 2

How do you convert 2/5 to an equivalent fraction with a denominator of 10?

• Multiply both numerator and denominator by 2.

• Multiply both numerator and denominator by 5.

• Subtract 2 from the denominator.

• Add 5 to the numerator.

What is the simplified ratio of 4/10 to 7/10?

• 4:7

• 7:4

• 10:7

• 7:10

In the example of simplifying 5/6 to 5/8, what common denominator is used?

• 24

• 18

• 30

• 12

What do you multiply 6 by to get a denominator of 24?

• 4

• 5

• 3

• 2

What is the simplified ratio of 20/24 to 15/24?

• 3:4

• 3:5

• 5:3

• 4:3

How do you convert 1 and 3/5 to an improper fraction?

• Subtract 3 from 5.

• Multiply 1 by 5 and add 3.

• Add 1 to 3/5.

• Multiply 3 by 5 and add 1.

What is 1 as a fraction over 5?

• 0/5

• 5/5

• 1/5

• 10/5

What is the simplified ratio of 5/5 to 8/5?

• 1:8

• 5:8

• 8:1

• 8:5