# Converting Repeating Decimals To Fractions: Question Preview (ID: 15634)

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**If a decimal has one digit that repeats, what number do you multiply by in step 2?**

a) 1

b) 10

c) 100

d) 1000

**What is the first step in converting a repeating decimal to a fraction?**

a) Let the variable (n) equal the decimal.

b) Multiply both sides of the equation by a power of 10.

c) Subtract the two equations.

d) Solve for n.

**0.5 with 5 repeating is equal to what fraction?**

a) 5/10

b) 1/2

c) 5/9

d) 5/99

**What number is in the denominator of a fraction (before simplifying) whose decimal has two repeating digits?**

a) 9

b) 99

c) 999

d) 9999

**0.45 with the 45 repeating is equal to which fraction?**

a) 45/100 = 9/20

b) 45/99 = 5/11

c) 4/5

d) 45/9 = 5

**What is the third step in converting a repeating decimal to a fraction?**

a) Let the variable (n) equal the decimal.

b) Multiply both sides of the equation by a power of 10.

c) Subtract the two equations.

d) Solve for n.

**What is the last step in converting a repeating decimal to a fraction?**

a) Let the variable (n) equal the deciimal.

b) Multiply both sides of the equation by a power of 10.

c) Subtract the two equations.

d) Solve for n.

**What number would you multiply both sides of the equation by if there are three repeating digits in the decimal?**

a) 10

b) 100

c) 1000

d) 10,000

**What is the second step in converting a repeating decimal to a fraction?**

a) Let the variable (n) equal the decimal.

b) Multiply both sides of the equation by a power of 10.

c) Subtract the two equations.

d) Solve for n.

**0.12345 with 12345 being repeating digits is equal to what fraction?**

a) 12345/9

b) 12345/999

c) 12345/99999

d) 12345/999999

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