Converting and Simplifying Fractions

The video tutorial explains how to convert the decimal 0.425 into a rational number, specifically a fraction. It starts by expressing 0.425 as 425/1000 and then simplifies this fraction by dividing both the numerator and the denominator by 5, resulting in 85/200. Further simplification by dividing again by 5 gives 17/40, which is the simplest form since 17 is a prime number. The tutorial concludes by confirming that 0.425 as a rational number is 17/40.

What does the decimal 0.425 represent as a fraction before simplification?

• 42.5/100

• 425/1000

• 425/100

• 4.25/10

Why is 425 divided by 1000 to convert 0.425 into a fraction?

• Because 0.425 is less than 1

• Because 425 is a prime number

• Because 0.425 is a repeating decimal

• Because 425 ends in the thousand's place

What is the result of simplifying 425/1000 by dividing both terms by 5?

• 17/40

• 42.5/100

• 85/200

• 8.5/20

After simplifying 85/200 by dividing by 5, what is the resulting fraction?

• 8.5/20

• 17/40

• 34/80

• 1.7/4

Why can't the fraction 17/40 be simplified further?

• Because 40 is a prime number

• Because 17 and 40 are both odd

• Because 17 is a prime number

• Because 17 and 40 are both even

What is the final simplified form of the fraction representing 0.425?

• 425/1000

• 17/40

• 85/200

• 34/80