Understanding Ratios and Their Simplifications

The video tutorial by Jeff Jacobson introduces the concept of ratios, explaining how they compare two quantities and can be represented in three different ways: using words, colons, or fractions. The tutorial provides examples, such as comparing coins and using ratio tables to find equivalent ratios. It also includes a practical application of calculating sodium intake based on the number of crackers consumed. The video concludes with a prompt to subscribe for more content.

What is a ratio?

• A mathematical operation

• A type of fraction

• A comparison of two quantities

• A comparison of three quantities

Which of the following is NOT a way to write a ratio?

• As a decimal

• Using the word 'to'

• As a fraction

• Using a colon

If you have 6 pennies and 7 quarters, how can you express the ratio of pennies to quarters?

• 7:6

• Both A and C

• 6:7

• 6 to 7

How can you simplify the ratio 6 to 16?

• 6 to 8

• 16 to 6

• 8 to 3

• 3 to 8

In a ratio table, if 1 pen corresponds to 3 pencils, how many pencils correspond to 2 pens?

• 12 pencils

• 9 pencils

• 6 pencils

• 3 pencils

What is the equivalent ratio of 4 to 6 when multiplied by 2?

• 12 to 8

• 4 to 12

• 6 to 8

• 8 to 12

How can you simplify the ratio 4 to 6?

• 2 to 3

• 3 to 2

• 6 to 4

• 4 to 3

If a box of crackers has 240 mg of sodium for every 36 crackers, how much sodium is in 15 crackers?

• 100 mg

• 150 mg

• 250 mg

• 200 mg

What is the greatest common factor used to simplify the ratio 240 to 36?

• 6

• 12

• 18

• 24

How do you find an equivalent ratio using multiplication?

• Divide both terms by the same number

• Multiply only the numerator

• Multiply only the denominator

• Multiply both terms by the same number