What is the simplest form of 4/10?
Understand the Problem
The question is asking for the simplest form of the fraction 4/10. To convert a fraction to its simplest form, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by that number.
Answer
The simplest form of the fraction is \( \frac{2}{5} \).
Answer for screen readers
The simplest form of the fraction ( \frac{4}{10} ) is ( \frac{2}{5} ).
Steps to Solve
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Identify the Numbers We have the fraction ( \frac{4}{10} ). The numerator is 4 and the denominator is 10.
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Find the Greatest Common Divisor (GCD) To simplify the fraction, we need to find the GCD of 4 and 10. The divisors of 4 are 1, 2, 4, and the divisors of 10 are 1, 2, 5, 10. The highest common divisor is 2.
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Divide the Numerator and Denominator by the GCD Now, we divide both the numerator (4) and the denominator (10) by the GCD (2): $$ \frac{4 \div 2}{10 \div 2} = \frac{2}{5} $$
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Write the Simplified Fraction The fraction ( \frac{4}{10} ) simplified is ( \frac{2}{5} ).
The simplest form of the fraction ( \frac{4}{10} ) is ( \frac{2}{5} ).
More Information
Simplifying fractions is useful because it allows for easier calculations and comparisons between numbers. The GCD helps to reduce fractions to their most basic form.
Tips
- Not Finding the GCD: A common mistake is not determining the correct GCD before simplifying.
- Wrong Division: Dividing the numerator and denominator by incorrect values can lead to an inaccurate simplified fraction.
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