Conversion of Fractions & Decimals

To convert a fraction to a decimal, divide the ​ (a)   by the ​ (b)   .

• numerator
• denominator
• part
• whole
• decimal

A decimal that end, or terminates is known as a ​ (a)   decimal.

A decimal with a repeating block is known as a ​ (b)   decimal.

• terminating
• repeating
• non-terminating
• non-repeating

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

To convert a decimal to a fraction, put the decimal over ​ (a)   and multiply the numerator and denominator by ​ (b)   until there is no longer a decimal in the numerator.

• 1
• 10
• 2
• 100

Match the following decimal to the equivalent fraction. May need to simplify

• 0.6

• 0.75

• 0.07

• 0.125

• 0.32

Converting Repeating Decimals

1. 1. Set a ​ (a)   = to the ​ (b)   decimal.

2. 2. Multiply by either 10, 100, or 1000 based the number of repeating digits.

3. 3. ​ (c)   both sides of the equations.

4. 4. ​ (d)   the two equation

5. 5. Solve for X and simplify

• variable
• repeating
• Multiply
• Subtract

What are the steps to converting a repeating decimal to a fraction?

• Divide

• Variable

• Subtract

• Multiply

Match the following repeating decimal to the equivalent fraction. May need to simplify.