Solving ratio problems with tables example 1 | Pre-Algebra | Khan Academy

TL;DR

Learn how to find equivalent ratios and compare fractions using ratios in this math tutorial.

Transcript

We're told this table shows equivalent ratios to 24 to 40. Fill in the missing values. And they write the ratio 24 to 40 right over here. 24-- when the numerator is 24, the denominator is 40. So in that way, you could think of 24/40. But then they want us to write equivalent ratios where we have to fill in different blanks over here-- here in the d... Read More

Key Insights

• 🥳 Equivalent ratios can be found by manipulating the numerator and denominator.
• ❓ Comparing fractions with different denominators requires finding equivalent fractions with matching numerators or denominators.
• 🥳 Maintaining a constant ratio between the numerator and denominator is essential for finding equivalent ratios.

Questions & Answers

Q: How can you find equivalent ratios by filling in missing values?

To find equivalent ratios, start with a given ratio. For example, if the ratio is 24 to 40, halve both the numerator and denominator to get 12 to 20. You can also use other operations like doubling or dividing to find the missing values.

Q: How can you compare fractions with different denominators?

To compare fractions with different denominators, find an equivalent fraction with the same numerator or denominator. For example, if you have 27/75 and 18/55, find that both are equivalent to 54/150 and 54/165, respectively. Since 54/165 is smaller, 18/55 is smaller than 27/75.

Q: What is the key concept for determining equivalent ratios in the video?

The key concept for determining equivalent ratios is maintaining a constant ratio between the numerator and denominator. By performing the same operations on both the numerator and denominator, you can find equivalent ratios.

Q: How can you determine if a table represents a valid constant speed scenario?

A valid constant speed scenario in a table is when the ratio between the distance and time remains constant. Each row should have the same ratio between distance and time, regardless of the specific values.

Summary & Key Takeaways

• The video explains how to find equivalent ratios by filling in missing values in a given ratio.

• It demonstrates finding equivalent ratios by halving, doubling, and dividing the numerator and denominator.

• The video also shows how to compare fractions by finding equivalent fractions with matching numerators or denominators.