Converting Repeating Decimals to Fractions

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

• Multiply the decimal by 10

• Set the decimal equal to a variable

• Add the decimal to itself

• Subtract the decimal from itself

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What does 10x represent if x is 0.7 repeating?

• 0.77

• 0.7

• 7.0

• 7.7 repeating

Tags

CCSS.5.NBT.A.2

Why do we subtract x from 10x in the process?

• To eliminate the repeating part

• To add the repeating part

• To divide the repeating part

• To multiply the repeating part

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is the result of 10x - x if x is 0.7 repeating?

• 6

• 9

• 7

• 8

Tags

CCSS.6.EE.A.2C

What fraction do we get when we solve 9x = 7?

• 7/11

• 7/10

• 7/9

• 7/8

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

What repeating decimal is introduced after solving for 0.7?

• 1.2

• 1.1

• 1.4

• 1.3

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What does 10x represent if x is 1.2 repeating?

• 12.2 repeating

• 11.2 repeating

• 2.2

• 1.2

Tags

CCSS.5.NBT.B.7

What is the result of 10x - x if x is 1.2 repeating?

• 13

• 12

• 11

• 10

Tags

CCSS.6.EE.A.2C

What fraction do we get when we solve 9x = 11?

• 11/11

• 11/10

• 11/9

• 11/8

Tags

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

What is the final fraction representation of 1.2 repeating?

• 11/8

• 11/11

• 11/9

• 11/10