What is an equivalent fraction to 4/10?
Understand the Problem
The question is asking for an equivalent fraction to 4/10, which involves finding another fraction that represents the same value as 4/10. This can be done by multiplying or dividing both the numerator and denominator of the fraction by the same number.
Answer
The equivalent fraction is \( \frac{2}{5} \).
Answer for screen readers
The equivalent fraction to ( \frac{4}{10} ) is ( \frac{2}{5} ).
Steps to Solve
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Identify the Fraction We start with the given fraction, which is ( \frac{4}{10} ).
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Find a Common Factor Next, we can find a common factor for both the numerator (4) and the denominator (10). The greatest common factor (GCF) of 4 and 10 is 2.
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Divide both the Numerator and Denominator Now, we divide both the numerator and the denominator by their GCF: $$ \frac{4 \div 2}{10 \div 2} = \frac{2}{5} $$
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Confirm the Equivalent Fraction To confirm, we can express both fractions as decimals:
- ( \frac{4}{10} = 0.4 )
- ( \frac{2}{5} ) can be calculated as ( 2 \div 5 = 0.4 )
Since both are equal, ( \frac{2}{5} ) is indeed an equivalent fraction.
The equivalent fraction to ( \frac{4}{10} ) is ( \frac{2}{5} ).
More Information
An equivalent fraction is a fraction that represents the same part of a whole, even though the numerator and denominator may be different. For example, both ( \frac{4}{10} ) and ( \frac{2}{5} ) represent 40% of a whole.
Tips
- A common mistake is to only focus on either the numerator or the denominator when choosing a number to multiply or divide by. Remember that both must be treated the same way to maintain equality.
- Some may think that adding or subtracting instead of multiplying or dividing can create equivalent fractions, which is incorrect.
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