Converting Decimals to Fractions

This video tutorial explains how to convert the decimal 0.375 into a fraction. It begins by multiplying the decimal by 1000 to eliminate the decimal point, resulting in the fraction 375/1000. The tutorial then demonstrates how to simplify this fraction by finding the greatest common factor (GCF) using factor trees. The GCF is determined to be 125, allowing the fraction to be reduced to 3/8. The video concludes with a summary of the steps and encourages viewers to subscribe for more math and science content.

What is the first step in converting 0.375 into a fraction?

• Write 375 over 1

• Multiply by 10

• Add 1 to the numerator

• Subtract 0.5 from the denominator

How many places do you move the decimal to the right in 0.375?

• One place

• Two places

• Three places

• Four places

What do you multiply the numerator and denominator by to eliminate the decimal in 0.375?

• 10

• 100

• 1000

• 10000

What is the first prime factor of 375 identified in the factor tree?

• 2

• 3

• 5

• 7

Which number is used to start the factor tree for 1000?

• 5

• 7

• 3

• 2

What is the greatest common factor of 375 and 1000?

• 50

• 25

• 100

• 125

After reducing, what is 375 divided by 125?

• 4

• 2

• 3

• 5

How many times does 125 go into 1000?

• 9

• 8

• 7

• 6

What is the final fraction form of 0.375?

• 3/8

• 2/3

• 4/5

• 1/2

What is the purpose of finding the greatest common factor in this process?

• To change the fraction to a decimal

• To reduce the fraction

• To add fractions

• To increase the fraction