Question
8/12 * blank equals 64/96
Answers
GPT-4o mini
To solve for the blank in the equation \( \frac{8}{12} \times \text{blank} = \frac{64}{96} \), we first simplify both fractions.
1. Simplify \( \frac{8}{12} \):
\[
\frac{8}{12} = \frac{2}{3}
\]
2. Simplify \( \frac{64}{96} \):
\[
\frac{64}{96} = \frac{2}{3} \quad (\text{both are divisible by } 32)
\]
Thus, the equation simplifies to:
\[
\frac{2}{3} \times \text{blank} = \frac{2}{3}
\]
3. To isolate the blank, we can multiply both sides by the reciprocal of \( \frac{2}{3} \):
\[
\text{blank} = \frac{2}{3} \div \frac{2}{3} = 1
\]
Therefore, the blank equals \( 1 \).
1. Simplify \( \frac{8}{12} \):
\[
\frac{8}{12} = \frac{2}{3}
\]
2. Simplify \( \frac{64}{96} \):
\[
\frac{64}{96} = \frac{2}{3} \quad (\text{both are divisible by } 32)
\]
Thus, the equation simplifies to:
\[
\frac{2}{3} \times \text{blank} = \frac{2}{3}
\]
3. To isolate the blank, we can multiply both sides by the reciprocal of \( \frac{2}{3} \):
\[
\text{blank} = \frac{2}{3} \div \frac{2}{3} = 1
\]
Therefore, the blank equals \( 1 \).