What fraction is equivalent to 4/9?
Understand the Problem
The question is asking for a fraction that has the same value as 4/9. This entails finding another fraction which can be simplified to 4/9 or which represents the same proportion.
Answer
Equivalent fractions to $ \frac{4}{9} $ include $ \frac{8}{18} $ and $ \frac{12}{27} $.
Answer for screen readers
Fractions equivalent to $ \frac{4}{9} $ include $ \frac{8}{18} $ and $ \frac{12}{27} $.
Steps to Solve
- Identifying Equivalent Fractions
To find fractions equivalent to $ \frac{4}{9} $, we can multiply both the numerator (the top number) and the denominator (the bottom number) by the same non-zero integer.
- Select a Multiplier
Choose a number to multiply by. Let's use 2 as an example.
- Calculate the Numerator and Denominator
Multiply the numerator and the denominator by 2:
$$ \text{Numerator: } 4 \times 2 = 8 $$
$$ \text{Denominator: } 9 \times 2 = 18 $$
So, we have an equivalent fraction:
$$ \frac{8}{18} $$
- Verifying Equivalence
To verify, we can simplify $ \frac{8}{18} $ by finding the greatest common divisor (GCD) of 8 and 18, which is 2:
$$ \frac{8 \div 2}{18 \div 2} = \frac{4}{9} $$
This confirms that $ \frac{8}{18} $ is equivalent to $ \frac{4}{9} $.
- Finding More Fractions
You can find more equivalent fractions by using different multipliers, such as 3, 4, or any positive integer. For example, using 3:
$$ \text{Numerator: } 4 \times 3 = 12 $$
$$ \text{Denominator: } 9 \times 3 = 27 $$
Thus, $ \frac{12}{27} $ is also an equivalent fraction.
Fractions equivalent to $ \frac{4}{9} $ include $ \frac{8}{18} $ and $ \frac{12}{27} $.
More Information
Every fraction can have multiple equivalent forms, allowing for flexibility in use in different mathematical scenarios.
Tips
People may forget to multiply both the numerator and the denominator by the same number, which would lead to an incorrect equivalent fraction.
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