Is 15/32 the same as 3/8?
Understand the Problem
The question is asking whether the fraction 15/32 is equivalent to the fraction 3/8. This involves comparing the two fractions to determine if they represent the same value.
Answer
No, $ \frac{15}{32} \neq \frac{3}{8} $.
Answer for screen readers
No, the fraction $ \frac{15}{32} $ is not equivalent to $ \frac{3}{8} $.
Steps to Solve
- Find a common denominator
To compare the two fractions $ \frac{15}{32} $ and $ \frac{3}{8} $, we first need a common denominator. The least common multiple (LCM) of the denominators 32 and 8 is 32.
- Convert the second fraction
Next, we need to express $ \frac{3}{8} $ with the common denominator of 32. To do this, we multiply both the numerator and the denominator by 4:
$$ \frac{3 \times 4}{8 \times 4} = \frac{12}{32} $$
- Compare the fractions
Now that both fractions are expressed with the same denominator, we can easily compare them:
$$ \frac{15}{32} \quad \text{and} \quad \frac{12}{32} $$
Since 15 is greater than 12, we see that:
$$ \frac{15}{32} > \frac{12}{32} $$
- Conclusion
Since $ \frac{15}{32} $ is greater than $ \frac{12}{32} $, the two fractions are not equivalent.
No, the fraction $ \frac{15}{32} $ is not equivalent to $ \frac{3}{8} $.
More Information
This problem involves understanding how to compare fractions by finding a common denominator. It is important to recognize that fractions represent portions of a whole, and by adjusting them to a common denominator, we can easily compare their sizes.
Tips
- A common mistake is failing to find a common denominator before comparing fractions. Always ensure both fractions have the same denominator to make comparison straightforward.
- Another mistake is miscalculating the multiplication when converting fractions. Double-check your calculations to avoid errors.
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