3/4 - 2/5
Understand the Problem
The question is asking for the subtraction of two fractions, 3/4 and 2/5. To solve this, we will need to find a common denominator and then perform the subtraction.
Answer
$ \frac{7}{20} $
Answer for screen readers
The final answer is $ \frac{7}{20} $.
Steps to Solve
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Identify the fractions We have two fractions: $ \frac{3}{4} $ and $ \frac{2}{5} $.
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Find the least common denominator (LCD) The denominators are 4 and 5. The least common multiple (LCM) of these numbers is 20, which will be our common denominator.
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Convert the fractions to the common denominator We need to adjust both fractions to have a denominator of 20:
- For $ \frac{3}{4} $, we multiply the numerator and the denominator by 5: $$ \frac{3 \times 5}{4 \times 5} = \frac{15}{20} $$
- For $ \frac{2}{5} $, we multiply the numerator and the denominator by 4: $$ \frac{2 \times 4}{5 \times 4} = \frac{8}{20} $$
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Perform the subtraction Now we subtract the second fraction from the first: $$ \frac{15}{20} - \frac{8}{20} = \frac{15 - 8}{20} = \frac{7}{20} $$
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Write the final answer The result of the subtraction is $ \frac{7}{20} $.
The final answer is $ \frac{7}{20} $.
More Information
Subtraction of fractions is a common operation in arithmetic and requires a common denominator to ensure the fractions can be combined correctly. The least common denominator is the smallest multiple that both denominators can divide into evenly.
Tips
- Not finding the least common denominator correctly, leading to errors in the calculation.
- Forgetting to adjust both the numerator and denominator when changing to the common denominator.
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