Exploring Fraction Operations and Simplifications

This video tutorial covers fractions, focusing on equivalent fractions, simplifying fractions, and the differences between improper fractions and mixed numbers. It explains how to find equivalent fractions by multiplying or dividing the numerator and denominator by the same value. The tutorial also covers simplifying fractions by dividing by common factors until the greatest common factor is one. Additionally, it explains mixed numbers and improper fractions, and how to convert between them by multiplying and adding numerators and denominators.

What is an equivalent fraction to 3/4 if you multiply both the numerator and denominator by 2?

• 6/8

• 9/12

• 3/8

• 6/4

If you multiply the numerator and denominator of 1/6 by 4, what is the resulting fraction?

• 4/24

• 1/24

• 4/6

• 1/4

What is the simplified form of 18/24?

• 6/8

• 4/6

• 2/3

• 3/4

What is the greatest common factor of 18 and 24?

• 6

• 3

• 2

• 4

Which of the following is a mixed number?

• 11/5

• 9/4

• 5 and 2/3

• 7/3

How do you convert the mixed number 3 and 1/4 to an improper fraction?

• Divide the whole number by the numerator and place over the denominator

• Multiply the numerator by the whole number and place over the denominator

• Add the whole number to the numerator and place over the denominator

• Multiply the whole number by the denominator and add the numerator, then place over the denominator

Which of the following is an improper fraction?

• 3 and 2/3

• 7/4

• 5 and 1/2

• 2 and 1/5

What is the improper fraction form of 5 and 2/3?

• 18/3

• 16/3

• 15/3

• 17/3

Convert the improper fraction 29/3 to a mixed number.

• 9 and 1/3

• 8 and 1/3

• 10 and 1/3

• 9 and 2/3

What is the simplified form of the mixed number 3 and 6/10?

• 3 and 3/5

• 3 and 1/2

• 3 and 4/5

• 3 and 2/5