Find the fraction that is equivalent to 3/8 and has a denominator of 32.
Understand the Problem
The question is asking for a fraction that is equivalent to 3/8, but with a denominator of 32. This requires calculating what numerator would make 3/8 equivalent to a fraction with a denominator of 32.
Answer
The equivalent fraction is $\frac{12}{32}$.
Answer for screen readers
The fraction equivalent to $\frac{3}{8}$ with a denominator of $32$ is $\frac{12}{32}$.
Steps to Solve
-
Identify the relationship between the fractions To convert the fraction $\frac{3}{8}$ into an equivalent fraction with a denominator of $32$, we need to find out how to go from $8$ to $32$.
-
Determine the multiplication factor To find the factor to multiply the denominator, we calculate: $$ 32 \div 8 = 4 $$ This tells us we need to multiply both the numerator and the denominator of $\frac{3}{8}$ by $4$.
-
Multiply the numerator Now we multiply the numerator by the same factor, $4$: $$ 3 \times 4 = 12 $$ Thus, our new fraction is: $$ \frac{12}{32} $$
-
Write the final equivalent fraction The fraction equivalent to $\frac{3}{8}$ with a denominator of $32$ is: $$ \frac{12}{32} $$
The fraction equivalent to $\frac{3}{8}$ with a denominator of $32$ is $\frac{12}{32}$.
More Information
This fraction, $\frac{12}{32}$, reduces back to $\frac{3}{8}$, confirming they are equivalent. It's useful in various applications like cooking, dividing resources, and understanding proportions.
Tips
- Not multiplying both numerator and denominator: A common mistake is to only change one part of the fraction, which will not yield an equivalent fraction.
- Not simplifying the fraction: Sometimes, after finding the equivalent fraction, one might forget to reduce it to its simplest form or to recognize that it can be reduced.
AI-generated content may contain errors. Please verify critical information
