Dividing Whole Numbers by Fractions Using a Number Line

This lesson teaches how to divide whole numbers by fractions using a number line. The example used is 6 divided by 3/4. The process involves drawing a number line from 0 to 6, dividing each whole number into fourths, and counting groups of 3/4 until reaching 6. The result is 8 groups, demonstrating that 6 divided by 3/4 equals 8. The lesson concludes with a recap of the division process using a number line.

What is the first step in dividing a whole number by a fraction using a number line?

• Draw a number line from zero to the dividend.

• Multiply the whole number by the fraction.

• Subtract the fraction from the whole number.

• Add the fraction to the whole number.

Why do we divide each whole number into fourths on the number line?

• Because the dividend is 6.

• Because the number line is divided into halves.

• Because the numerator of the divisor is 3.

• Because the denominator of the divisor is 4.

What does each part represent when the space between whole numbers is divided into fourths?

• 1/4

• 1/3

• 1/2

• 1/5

How many groups of 3/4 fit into the number 6?

• Seven groups

• Six groups

• Nine groups

• Eight groups

What is the result of dividing 6 by 3/4?

• 9

• 6

• 7

• 8