Download Fractions to Decimals and Decimals to Fractions

CHANGING A DECIMAL INTO A FRACTION
1.
“The top dog gets the house”. The numerator ALWAYS goes inside the division symbol.
Example: 121 8
8 121.00 2.
If there is not a decimal point, put one after your number followed by two zeros.
3.
See how many times the number on the outside will go into the first number. If it won't, then see
how many times it will go into the first 2 numbers.
4.
Divide
Multiply
Subtract
Bring down
5.
Go out until your answer repeats or stops. Otherwise, stop at the hundredths place.
Example:
1
Examples:
2
CHANGING DECIMALS INTO FRACTIONS
If a decimal terminates, put the numbers that follow the decimal point over the same
amount of zeros. Then put a 1 in front of the zeros. If there is a number in front of the decimal point, that's your whole number. It goes in front of the fraction.
Example:
.739 =
739
1000
3.25
=
25
3 100
If a decimal repeats directly after the decimal point, put the numbers that repeat
over the same amount of nines. If there is a number in front of the decimal point, that's your whole number. It goes in front of the fraction.
Example:
.7
=
7
9
6.25
=
25
6 99
3
If a decimal repeats but not directly after the decimal point, there are steps that you need to follow to write it as a fraction.
Step 1: Multiply your number by 10.
Step 2: If only 1 number repeats, multiply your number by 100. If 2 numbers repeat,
multiply your number by 1000; if 3 numbers repeat, multiply by 10,000.
Step 3: Subtract Step 1 from Step 2.
Step 4: Solve for x.
Example:
.27
Step 1:
10x
Step 2: 100x
=
=
2.7
27.7
Step 3:
100x =
­ 10x =
90x =
27.7
2.7
25
Step 4:
25
90
90x
90
=
Your fraction is 25
90
4