Express each of the following as a decimal: 4/5, 1/4, 9/20.
Understand the Problem
The question is asking to convert three fractions (4/5, 1/4, and 9/20) into decimal form. This involves performing division for each fraction to get the decimal equivalent.
Answer
The decimals are: \( 0.8, 0.25, 0.45, 2.5 \)
Answer for screen readers
The decimal equivalents are:
- ( \frac{4}{5} = 0.8 )
- ( \frac{1}{4} = 0.25 )
- ( \frac{9}{20} = 0.45 )
- ( \frac{5}{2} = 2.5 )
Steps to Solve
- Convert the first fraction: ( \frac{4}{5} )
To convert ( \frac{4}{5} ) into decimal form, divide the numerator (4) by the denominator (5).
$$ 4 \div 5 = 0.8 $$
- Convert the second fraction: ( \frac{1}{4} )
For ( \frac{1}{4} ), divide the numerator (1) by the denominator (4).
$$ 1 \div 4 = 0.25 $$
- Convert the third fraction: ( \frac{9}{20} )
Next, convert ( \frac{9}{20} ) into decimal by dividing the numerator (9) by the denominator (20).
$$ 9 \div 20 = 0.45 $$
- Convert the fourth fraction: ( \frac{5}{2} )
Finally, for ( \frac{5}{2} ), divide the numerator (5) by the denominator (2).
$$ 5 \div 2 = 2.5 $$
The decimal equivalents are:
- ( \frac{4}{5} = 0.8 )
- ( \frac{1}{4} = 0.25 )
- ( \frac{9}{20} = 0.45 )
- ( \frac{5}{2} = 2.5 )
More Information
When you convert fractions into decimals, you essentially perform division. The decimal form can provide a more intuitive understanding of the numerical value represented by the fraction.
Tips
- Forgetting to divide correctly can lead to incorrect decimal values.
- Misplacing the decimal point after division. Always double-check your arithmetic.
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