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What is the first step in converting a repeating decimal to a fraction?
45/100 = 9/20
10
99
Solve for n.
Let the variable (n) equal the decimal.
1000
Multiply both sides of the equation by a power of 10.
Subtract the two equations.
If a decimal has one digit that repeats, what number do you multiply by in step 2?
45/100 = 9/20
10
99
Solve for n.
Let the variable (n) equal the decimal.
1000
Multiply both sides of the equation by a power of 10.
Subtract the two equations.
What is the last step in converting a repeating decimal to a fraction?
45/100 = 9/20
10
99
Solve for n.
Let the variable (n) equal the decimal.
1000
Multiply both sides of the equation by a power of 10.
Subtract the two equations.
What number would you multiply both sides of the equation by if there are three repeating digits in the decimal?
45/100 = 9/20
10
99
Solve for n.
Let the variable (n) equal the decimal.
1000
Multiply both sides of the equation by a power of 10.
Subtract the two equations.
What is the second step in converting a repeating decimal to a fraction?
45/100 = 9/20
10
99
Solve for n.
Let the variable (n) equal the decimal.
1000
Multiply both sides of the equation by a power of 10.
Subtract the two equations.
What number is in the denominator of a fraction (before simplifying) whose decimal has two repeating digits?
45/100 = 9/20
10
99
Solve for n.
Let the variable (n) equal the decimal.
1000
Multiply both sides of the equation by a power of 10.
Subtract the two equations.
What is the third step in converting a repeating decimal to a fraction?
45/100 = 9/20
10
99
Solve for n.
Let the variable (n) equal the decimal.
1000
Multiply both sides of the equation by a power of 10.
Subtract the two equations.
0.45 with the 45 repeating is equal to which fraction?
45/100 = 9/20
10
99
Solve for n.
Let the variable (n) equal the decimal.
1000
Multiply both sides of the equation by a power of 10.
Subtract the two equations.
Check it!