To convert a Decimal to a Fraction follow these steps:Step 1:Write down the decimal divided by 1, like this:decimal/1

Step 2:Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

Step 3:Simplify(or reduce) the fraction

Example: Express 0.75 as a fractionStep 1:Write down 0.75 divided by 1:0.75

1

Step 2:Multiply both top and bottom by100(there were 2 digits after the decimal point so that is 1010=100): 100

0.75=75

1100

100

(Do you see how it turns the top number into a whole number?)Step 3:Simplify the fraction(this took me two steps):5 5

75=15=3

100204

5 5

Answer =3/4Note: 75/100 is called adecimal fractionand 3/4 is called acommon fraction!Example: Express 0.625 as a fractionStep 1:write down:0.625

1

Step 2:multiply both top and bottom by1,000(there were 3 digits after the decimal point so that is 101010=1,000)625

1,000

Step 3:Simplify the fraction (it took me two steps here):255

625=25=5

1,000408

255

Answer =5/8

Example: Express 0.333 as a fractionStep 1:Write down:0.333

1

Step 2:Multiply both top and bottom by1,000(there were 3 digits after the decimal point so that is 101010=1,000)333

1,000

Step 3:Simplify Fraction:Answer =333/1,000

Changing Infinite Repeating Decimals to FractionsRemember:Infinite repeating decimals are usually represented by putting a line over (sometimes under) the shortest block of repeating decimals.Every infinite repeating decimal can be expressed as a fraction.1. Find the fraction represented by the repeating decimal.Letnstand foror 0.77777 So 10nstands foror 7.77777 10nandnhave the same fractional part, so their difference is an integer.

You can solve this problem as follows.

So

2. Find the fraction represented by the repeating decimal.Letnstand foror 0.363636 So 10nstands foror 3.63636 and 100nstands foror 36.3636 100nandnhave the same fractional part, so their difference is an integer. (The repeating parts are the same, so they subtract out.)

You can solve this equation as follows:

Now simplifyto.So

3. Find the fraction represented by the repeating decimal.Letnstand foror 0.544444 So 10nstands foror 5.444444 and 100nstands foror 54.4444 Since 100nand 10nhave the same fractional part, their difference is an integer. (Again, notice how the repeated parts must align to subtract out.)

You can solve this equation as follows.

So