Simmons Campos
06/22/2023 · Primary School
1. \( \frac{k}{7}=\frac{32}{56} \quad k= \)
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Tutor-Verified Answer
Step-by-step Solution
To solve the equation \( \frac{k}{7} = \frac{32}{56} \), we first simplify the right side.
The fraction \( \frac{32}{56} \) can be simplified by finding the greatest common divisor (GCD) of 32 and 56. The GCD is 8.
Now, we divide both the numerator and the denominator by 8:
\[
\frac{32 \div 8}{56 \div 8} = \frac{4}{7}
\]
So, we have:
\[
\frac{k}{7} = \frac{4}{7}
\]
Next, we can cross-multiply to solve for \( k \):
\[
k \cdot 7 = 4 \cdot 7
\]
This simplifies to:
\[
k = 4
\]
Thus, the value of \( k \) is:
\[
\boxed{4}
\]
Quick Answer
\( k = 4 \)
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