Fraction to Decimal
How do you convert a fraction into a decimal?
Divide the numerator by the denominator!
What fraction represents: 0.1
1/100
How can you convert a fraction to a decimal without a calculator?
Multiple responses:
- use long division
- find an equivalent fraction that has a denominator of 10, 100, 1000, 10 000, etc.
- find an equivalent fraction that has a denominator of 9, 99, 999, 9999, etc.
Convert to a decimal: 3/4
0.75
Convert to a fraction: 0.23
23/100
How can you tell if a fraction is equivalent to a terminating decimal?
If it's denominator is a 10, 100, 1000, 10 000, etc.
Convert to a decimal: 2 1/4
2.25
Convert to a fraction: 0.11111... (repeated decimal)
1/9
How can you tell if a fraction will be a repeated decimal?
If it's denominator is a 9, 99, 999, 9999, etc.
Convert to a decimal: 1/3
0.333...
Convert to a fraction:0.2323232... (repeated decimal)
23/99
How can you indicate that a decimal is repeating?
Is the following a repeating decimal: 30/99
YES!
What can the denominator be for a 3-digit repeating decimal?
Usually a 999
What is the only prime number denominator that always produces a terminating decimal?
Only a 2!