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Grade 7: The Learning Equation Math
11.06 Decimal Conversions 

Learning Outcomes:
The student will:
Methods for Converting Fractions to
Decimals 
Convert fraction to an equivalent fraction with a denominator that is a
power of ten before converting to a decimal. 
1/2 = 5/10 = 0.5
3/20 = 15/100 = 0.15
1/8 = 125/1000 = 0.125 
When proper/improper fractions have different numerators and denominators,
the decimal equivalent of each can be calculated by dividing the numerator by the
denominator. 
3/4 = 0.75
3/8 = 0.375
4/15 = 0.0666... 
Complete the numerator divided by the denominator calculation with a
calculator.

2/5 = 2 5 =
2/3 = 2 3 =
14/15 = 14 15 =
336/445 = 336 445 =
4 7/12 = 55/12 = 55 12 =

terminating decimal 
1/2 = 0.5 
7/100 = 0.07 
repeating decimal 
1/3 = = 0.333... 
3/11 = =0.272727... 

Review:
Fast
Decimals to Fractions
Fraction
Decimal Conversion 
Enrichment:

fraction, mixed number, terminating decimal, repeating
decimal

Prerequisite Skills:
Base 10 Blocks: Exploring
Whole Decimal Numbers with Blocks
Rounding
Decimal Numbers
Fraction
Inequalities
Inequality
Flashcards  100 to 100 000 000
Expanded Notation
and Decimals: Grade 7
Lesson 11.02
Fraction Conversions: Grade
7: Lesson 11.05
What is
Fraction  Practice Game
Fraction Conversions: Grade 7:
Lesson 11.05

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