Lesson 4-1 Decimals to Fractions (Repeating)

Lesson 4-1- Decimals to Fractions Day 2

HW #8- pg 49 #8 (Fractions & Decimals), pg 52 #6-11 Due Friday 10/15

Steps to Convert Decimals to Fractions

​Repeating Decimals

​Step 1- Let "x" equal the repeating decimal

​Step 2- Determine the number of repeating digit(s). Multiply both sides by power of 10 (based on the number of repeating digit(s).

​Step 3- Subtract "x" from the "New" equation (Step 2).

​

​Step 4- Solve for "x"

​

​

​Step 5- Simplify (if needed)

​Ex 5) 0.6666...

Convert Decimals to Fractions

​Repeating Decimals

​Step 1- Let "x" equal the repeating decimal

​Step 2- Determine the number of repeating digit(s). Multiply both sides by power of 10 (based on the number of repeating digit(s).

​Step 3- Subtract "x" from the "New" equation (Step 2).

​Step 4- Solve for "x"

​Step 5- Simplify (if needed)

​Ex 6) 0.4444...

Convert Decimals to Fractions

​Repeating Decimals

​Step 1- Let "x" equal the repeating decimal

​Step 2- Determine the number of repeating digit(s). Multiply both sides by power of 10 (based on the number of repeating digit(s).

​Step 3- Subtract "x" from the "New" equation (Step 2).

​Step 4- Solve for "x"

​Step 5- Simplify (if needed)

​Ex 7) 8.121212...

Convert Decimals to Fractions

​Repeating Decimals

​Step 1- Let "x" equal the repeating decimal

​Step 2- Determine the number of repeating digit(s). Multiply both sides by power of 10 (based on the number of repeating digit(s).

​Step 3- Subtract "x" from the "New" equation (Step 2).

​Step 4- Solve for "x"

​Step 5- Simplify (if needed)

​Ex 8) 0.272727...

Convert Decimals to Fractions

​Repeating Decimals

​Step 1- Let "x" equal the repeating decimal

​Step 2- Determine the number of repeating digit(s). Multiply both sides by power of 10 (based on the number of repeating digit(s).

​Step 3- Subtract "x" from the "New" equation (Step 2).

​Step 4- Solve for "x"

​Step 5- Simplify (if needed)

Convert Decimals to Fractions

​Repeating Decimals

​Step 1- Let "x" equal the repeating decimal

​Step 2- Determine the number of repeating digit(s). Multiply both sides by power of 10 (based on the number of repeating digit(s).

​Step 3- Subtract "x" from the "New" equation (Step 2).

​

​Step 4- Solve for "x"

​

​

​Step 5- Simplify (if needed)

Multiple Choice

• 1/2
• 1/10
• 1/100
• 1/9

Multiple Choice

• 7/50
• 14/9
• 7/45
• 14/99

Multiple Choice

Identify the fraction equivalent to the decimal below.

• 2 4/99
• 2   4/9
• 2   2/5
• 2 4/10

Multiple Choice

• 2   23/100
• 2   23/10
• 2   23/9
• 2   23/99