Understanding Fractions and Division

The video tutorial explains how to divide 3/8 yards of ribbon into 27 equal parts. It demonstrates the process of dividing a fraction by a whole number by converting the whole number into a fraction and using the reciprocal. The tutorial simplifies the fraction by identifying common factors and calculating the final length of each ribbon as 1/72 yards.

Cindy has a certain length of ribbon. How many equal parts does she want to cut it into?

• 45

• 30

• 27

• 15

What operation do we need to perform to find the length of each ribbon piece?

• Addition

• Division

• Multiplication

• Subtraction

How can we express the number 27 as a fraction?

• 27/27

• 1/27

• 1/1

• 27/1

What is the reciprocal of 27/1?

• 27/27

• 1/1

• 27/1

• 1/27

When dividing by a fraction, what operation do we perform instead?

• Add the reciprocal

• Divide by the reciprocal

• Subtract the reciprocal

• Multiply by the reciprocal

What common factor do 3 and 27 share?

• 3

• 2

• 1

• 9

How can we simplify the fraction 3/8 times 1/27?

• By multiplying directly

• By subtracting the denominators

• By adding the numerators

• By canceling common factors

What is the simplified form of the fraction 3/8 times 1/27?

• 1/72

• 3/72

• 3/8

• 1/27

What is the final length of each hair ribbon piece?

• 1/72 yards

• 1/27 yards

• 1/8 yards

• 3/8 yards

If the model represents 3/8 yards, what does each piece represent after cutting?

• 1/8 yards

• 1/27 yards

• 3/8 yards

• 1/72 yards