Simplifying Fractions and Decimals

The video tutorial explains how to convert decimals into simplified fractions by using place value charts and identifying common factors. It covers examples with one, two, and three digits to the right of the decimal, demonstrating the process of simplification through common factors and prime factorization.

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

• Add a zero to the decimal.

• Multiply the decimal by 100.

• Divide the decimal by 10.

• Identify the place value of the digit.

How do you simplify the fraction 6/10?

• Divide both numerator and denominator by 3.

• Multiply both numerator and denominator by 2.

• Divide both numerator and denominator by 2.

• Add 1 to both numerator and denominator.

When converting 0.15 to a fraction, what is the greatest common factor used to simplify it?

• 15

• 10

• 5

• 3

What is the simplified fraction form of 0.15?

• 15/100

• 1/5

• 3/20

• 3/10

What is the fraction representation of a decimal with three digits to the right of the decimal point?

• Hundredths

• Millionths

• Thousandths

• Tenths

What is the first step in simplifying the fraction 224/1000?

• Divide both by 5.

• Divide both by 10.

• Divide both by 2.

• Multiply both by 2.

Why is it important to recognize powers of ten in the denominator?

• To multiply the fraction by ten.

• To identify common factors easily.

• To add zeros to the numerator.

• To convert the fraction to a decimal.

What is the simplified form of the fraction 28/125?

• 28/125

• 14/125

• 28/250

• 56/250

What is one method to simplify a fraction if you know the greatest common factor?

• Add the greatest common factor to both numerator and denominator.

• Multiply both numerator and denominator by the greatest common factor.

• Subtract the greatest common factor from both numerator and denominator.

• Divide both numerator and denominator by the greatest common factor.

What is the benefit of rewriting numbers as a product of their primes when simplifying fractions?

• It helps in identifying common factors.

• It adds zeros to the numbers.

• It converts the fraction to a decimal.

• It makes the numbers larger.