Finding Missing Values in Equivalent Ratios

In this video, Mr. J explains how to find the missing number in an equivalent ratio using examples. He demonstrates solving equivalent ratio problems through multiplication and division, emphasizing the importance of maintaining the order of numbers in ratios. The video covers four examples, with the first two focusing on direct multiplication or division, and the last two requiring simplification of ratios before solving. The video concludes with a summary of the methods discussed.

What are the two methods used to find missing numbers in equivalent ratios?

• Addition and subtraction

• Multiplication and division

• Square and square root

• Integration and differentiation

How do you find an equivalent ratio?

• By subtracting the same number from both terms

• By adding the same number to both terms

• By squaring both terms

• By multiplying or dividing both terms by the same number

Why is it important to maintain the order in ratios?

• To make the ratios look better

• To simplify the calculation process

• To ensure the correct application of operations

• To avoid division

In the ratio 5 to 15 equals x to 30, what is the value of x?

• 15

• 20

• 10

• 5

In the ratio x to 18 equals 2 to 6, what is the value of x?

• 2

• 8

• 4

• 6

What is the first step in solving more complex equivalent ratio problems?

• Converting the ratio into a decimal

• Multiplying both sides by the largest number

• Simplifying the ratio

• Dividing both sides by the smallest number

In the ratio 7 to 21 equals 10 to x, what is the value of x?

• 40

• 30

• 10

• 20

What does simplifying a ratio involve?

• Finding the least common multiple

• Finding the greatest common divisor

• Subtracting the terms

• Adding the terms together

In the simplified ratio 2 to 3 equals x to 27, what is the value of x?

• 36

• 18

• 24

• 12

What is the result of dividing both terms of the ratio by their greatest common divisor?

• A completely different ratio

• An equivalent ratio

• An increased ratio

• A simplified fraction