CONCEPTUAL ARITHMETIC METHODS WITH DECIMALS

Division

Division with decimals

The following techniques will be covered in this presentation:

Converting to fractions and using fraction division (and possibly integer division)

Common denominator division with integer division

Converting to fractions and using fraction division

Technique 1

Example 1: Find the quotient 5.31 ÷ 0.3

Rewrite the divisor and dividend as fractions.

Perform the fraction division – simplify if you can

Example 2: Find the quotient 10.5 ÷ 1.25

1. Rewrite the divisor and dividend as fractions.

2. Perform the fraction division – simplify if you can

3. or use integer division to finish the problem off…

Example 3: Find the quotient 76.5 ÷ 3.06

1. Rewrite the divisor and dividend as fractions.

2. Perform the fraction division – do any easy reductions

3. Integer division to finish the problem off…

Common denominator division with integer division

Technique 2

Example 4: Find the quotient 27.6 ÷ 3.2

1. Convert each decimal to fraction form:

2. Since the fractions share a common denominator, so we can simply divide the numerators.

3. Finish the problem using integer division methods.

Example 5: Find the quotient 85.2 ÷ 0.25

1. Convert each decimal to fraction form:

2. Rewrite with a common denominator, then divide the numerators.

3. Finish the problem using integer division methods.