Converting Decimals to Fractions Explained

The video tutorial explains how to convert decimals into fractions by identifying the number of digits to the right of the decimal point and multiplying by powers of ten. It provides examples with decimals 0.3, 0.36, 3.75, and 0.284, demonstrating the conversion process and simplification of fractions. The tutorial emphasizes understanding the place value of decimals and the importance of reducing fractions to their simplest form.

What is the first step in converting a decimal with one digit to the right of the decimal point into a fraction?

• Put it over 1 and multiply by 10

• Multiply by 100

• Add 1 to the decimal

• Divide by 10

How do you convert 0.3 into a fraction?

• 3/100

• 30/100

• 3/10

• 30/10

What do you multiply by when converting a decimal with two digits to the right of the decimal point?

• 1000

• 1

• 10

• 100

What is 0.36 as a fraction in its simplest form?

• 3/10

• 9/25

• 18/50

• 36/100

When converting 3.75 to a fraction, what is the first step?

• Divide by 100

• Divide by 10

• Multiply by 100

• Multiply by 10

What is 375 divided by 5?

• 80

• 70

• 85

• 75

What is the final simplified fraction of 3.75?

• 45/12

• 30/8

• 75/20

• 15/4

How many digits to the right of the decimal point are there in 0.284?

• 4

• 1

• 2

• 3

What do you multiply by when converting a decimal with three digits to the right of the decimal point?

• 10

• 100

• 1000

• 1

What is the final simplified fraction of 0.284?

• 284/1000

• 71/250

• 142/250

• 142/500