Understanding Ratios and Fractions

The video tutorial covers the concept of equivalent ratios, starting with a given ratio of 24 to 40 and solving for missing values. It then compares fractions with different denominators by finding equivalent fractions with common numerators. Finally, it examines constant speed in a race scenario, using distance-time ratios to determine valid data tables. The tutorial emphasizes understanding ratios, fractions, and their applications in real-world contexts.

What is the equivalent ratio of 24 to 40 when the numerator is halved?

• 24 to 80

• 6 to 10

• 48 to 40

• 12 to 20

If the numerator of a ratio is divided by 4, what should be done to the denominator to maintain equivalence?

• Multiply by 4

• Divide by 4

• Add 4

• Subtract 4

How do you find an equivalent ratio when the denominator is doubled?

• Add 10 to the numerator

• Subtract 10 from the numerator

• Halve the numerator

• Double the numerator

Which fraction is greater: 27/75 or 18/55?

• They are equal

• 18/55

• 27/75

• Cannot be determined

What is the best method to compare two fractions with different denominators?

• Find a common denominator

• Subtract the fractions

• Find a common numerator

• Add the fractions

If two fractions have the same numerator, how do you determine which is smaller?

• The one with the larger denominator

• The one with the smaller denominator

• The one with the larger numerator

• The one with the smaller numerator

What should be constant in a table showing distance over time for a constant speed?

• The speed

• The ratio of distance to time

• The total time

• The total distance

In a table showing constant speed, if the distance is tripled, what should happen to the time?

• It should be tripled

• It should be halved

• It should remain the same

• It should be doubled

Which table represents a constant speed if the ratio of distance to time is 7 to 5?

• Table with ratios 10 to 7, 20 to 14, 30 to 21

• Table with ratios 1 to 1, 2 to 2, 3 to 3

• Table with ratios 14 to 10, 21 to 15, 28 to 20

• Table with ratios 11 to 4, 12 to 5

If a table shows a ratio of 3 to 2 for distance and time, what happens if the distance is multiplied by 5?

• The time remains the same

• The time is multiplied by 5

• The time is divided by 5

• The time is multiplied by 3