Understanding Ratios and Simplified Fractions

The video tutorial explains how to simplify ratios that involve fractions and decimals. It begins with an introduction to the concept of simplifying ratios and highlights the challenges posed by fractions and decimals. The first example demonstrates simplifying the ratio 2/9 to 7/18 by converting it into a multiplication problem and identifying common factors. The second example involves simplifying the ratio 0.06 to 0.24 by eliminating decimals and finding the greatest common factor. The tutorial provides a step-by-step approach to simplifying these ratios, ensuring a clear understanding of the process.

What is the main challenge when writing ratios as simplified fractions in this lesson?

• The presence of large numbers

• The presence of whole numbers

• The presence of fractions and decimals

• The presence of negative numbers

How do you convert the division of fractions into a multiplication problem?

• By subtracting the fractions

• By multiplying by the reciprocal

• By adding the fractions

• By dividing by the reciprocal

What is the common factor between 9 and 18 in the ratio 2/9 to 7/18?

• 6

• 12

• 3

• 9

What is the simplified fraction of the ratio 2/9 to 7/18?

• 7/4

• 4/7

• 2/7

• 9/4

What is the initial step in simplifying the ratio 0.06 to 0.24?

• Convert decimals to mixed numbers

• Convert decimals to whole numbers

• Convert decimals to fractions

• Convert decimals to percentages

How can you eliminate decimals in a fraction?

• By multiplying by 10

• By dividing by 100

• By multiplying by 100

• By dividing by 10

What is the greatest common factor between 6 and 24?

• 6

• 3

• 12

• 2

What is the simplified fraction of the ratio 0.06 to 0.24?

• 1/2

• 1/4

• 1/5

• 1/3

Why is it important to simplify fractions in ratios?

• To make calculations easier

• To make the numbers larger

• To make the fractions more complex

• To make the numbers smaller

What is the equivalent of moving the decimal point two places to the right?

• Dividing by 10

• Multiplying by 10

• Multiplying by 100

• Dividing by 100