Converting Decimals to Fractions: Key Techniques

In this video, Josh from Tech Maath Channel explains how to convert decimals into fractions. The tutorial covers three types of decimals: terminating decimals, recurring decimals, and recurring decimals with delayed repeats. Josh provides step-by-step instructions and algebraic tricks to simplify the conversion process. The video concludes with a call to action for viewers to like and subscribe.

What are the three types of decimals discussed in the video?

• Simple, Complex, and Mixed

• Terminating, Recurring, and Complex

• Terminating, Recurring, and Recurring with Delayed Repetition

• Simple, Mixed, and Complex

How do you convert 0.75 to a fraction?

• 75/10, then simplify to 3/4

• 75/1, then simplify to 3/4

• 75/100, then simplify to 3/4

• 75/1000, then simplify to 3/4

What is the simplified fraction of 0.1875?

• 1875/10000, then simplify to 3/4

• 1875/1000, then simplify to 3/4

• 1875/10000, then simplify to 3/16

• 1875/1000, then simplify to 3/16

What is the first step in converting a recurring decimal like 0.777... to a fraction?

• Divide by 10

• Multiply by 10

• Set the decimal equal to X

• Subtract the decimal from 1

What is the fraction equivalent of 0.777...?

• 7/10

• 7/9

• 7/11

• 7/8

How many decimal places do you move to get the first repeat in 0.242424...?

• Four

• One

• Three

• Two

What is the simplified fraction of 0.242424...?

• 24/10, then simplify to 8/33

• 24/99, then simplify to 8/33

• 24/100, then simplify to 8/33

• 24/1000, then simplify to 8/33

What is the first step in converting 0.166666... to a fraction?

• Subtract the decimal from 1

• Multiply by 10

• Divide by 10

• Set the decimal equal to X

What is the fraction equivalent of 0.166666...?

• 1/5

• 1/3

• 1/4

• 1/6

What is the simplified fraction of 0.916666...?

• 11/12

• 8/9

• 9/10

• 10/11