Understanding Fractions and Simplification

This video tutorial demonstrates how to convert the decimal 0.875 into a fraction. It begins by explaining the initial setup of placing the decimal over one and then multiplying by 1,000 to eliminate the decimal point. The tutorial then uses a factor tree to find the greatest common factor (GCF) of the resulting numbers, simplifying the fraction to 7/8. The video concludes with a summary of the process and encourages viewers to subscribe for more math and science content.

What is the initial step in converting 0.875 into a fraction?

• Place it over 1

• Add 1 to it

• Multiply by 10

• Subtract 0.1 from it

How many places do you move the decimal to the right to eliminate it in 0.875?

• One place

• Two places

• Three places

• Four places

What number do you multiply 0.875 by to remove the decimal?

• 10,000

• 10

• 1,000

• 100

Which method is used to find the greatest common factor in the video?

• Long division

• Prime number listing

• Factor tree

• Cross multiplication

What is the prime factorization of 875 as shown in the video?

• 2, 2, 5, 5

• 5, 5, 5, 7

• 3, 3, 5, 7

• 2, 5, 5, 7

What is the greatest common factor of 875 and 1,000?

• 125

• 25

• 50

• 100

How is the greatest common factor determined in the video?

• By adding the numbers

• By subtracting the numbers

• By dividing the numbers

• By finding vertical pairs of prime factors

What is the simplified fraction form of 0.875?

• 9/10

• 3/4

• 5/6

• 7/8

How many times does 125 go into 1,000?

• 8 times

• 9 times

• 7 times

• 6 times

What is the final step in verifying the fraction conversion?

• Using a calculator

• Rewriting the fraction

• Adding the numbers

• Subtracting the numbers