Simplifying Ratios and Conversions

The video tutorial explains how to simplify ratios that contain decimal and fractional parts. It begins by discussing the need to convert decimals into whole numbers by multiplying by powers of ten, ensuring both parts of the ratio are multiplied equally. Examples are provided to illustrate the process, including finding common factors to simplify further. The tutorial also covers simplifying ratios with fractions by finding a common denominator and converting them into whole numbers. The video concludes with a summary and encourages viewers to engage with the content.

Why is it important to convert decimal parts in ratios to whole numbers?

• To make calculations easier

• To ensure the ratio is in its simplest form

• To make the ratio look better

• To avoid using fractions

What is a common method to convert a decimal to a whole number?

• Add a constant value

• Subtract a constant value

• Multiply by a power of 10

• Divide by a power of 10

In the example of simplifying 1 to 1.5, what is the first step?

• Add 0.5 to both numbers

• Multiply both numbers by 10

• Divide both numbers by 5

• Subtract 0.5 from both numbers

What is an alternative method to simplify the ratio 1 to 1.5?

• Multiply both numbers by 2

• Multiply both numbers by 3

• Divide both numbers by 2

• Add 1 to both numbers

How do you convert 1.02 to a whole number in the ratio 3 to 1.02?

• Multiply by 5

• Multiply by 100

• Multiply by 1000

• Multiply by 10

What is the final simplified form of the ratio 6.3 to 2.1?

• 3 to 1

• 21 to 7

• 63 to 21

• 6 to 2

What must be true for the final simplification of a ratio with decimals?

• Parts must be whole numbers

• Parts must be decimals

• Parts must be negative numbers

• Parts must be fractions

What is the first step in simplifying a ratio with fractions?

• Add the fractions

• Multiply the fractions

• Find the lowest common multiple of the denominators

• Subtract the fractions

How is the number 5 expressed as a fraction?

• 5/5

• 10/2

• 5/1

• 1/5

What is the final simplified form of the ratio 5 to 2/3?

• 5 to 2

• 15 to 2

• 5 to 3

• 10 to 3