Conversion of Fractions & Decimals

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

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

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

Convert the following fraction to decimal and simplify if needed.

$$\frac{3}{10}$$

Convert the following fraction to decimal and simplify if needed.

$$\frac{12}{5}$$

Convert the following fraction to decimal and simplify if needed.

Round to the nearest ten-thousandths (4 digits after the decimal)

$$\frac{2}{11}$$

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.

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

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

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

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