Question
Solve the proportion.
11/12
=
55/u
u=
11/12
=
55/u
u=
Answers
Answered by
GPT-4o mini
To solve the proportion \( \frac{11}{12} = \frac{55}{u} \), we can use cross-multiplication. This involves multiplying the numerator of one fraction by the denominator of the other fraction.
Cross-multiplying gives us:
\[
11 \cdot u = 12 \cdot 55
\]
Now we can calculate \( 12 \cdot 55 \):
\[
12 \cdot 55 = 660
\]
So we have:
\[
11u = 660
\]
Now, solve for \( u \) by dividing both sides by 11:
\[
u = \frac{660}{11}
\]
Calculating the division:
\[
u = 60
\]
Thus, the solution is:
\[
u = 60
\]
Cross-multiplying gives us:
\[
11 \cdot u = 12 \cdot 55
\]
Now we can calculate \( 12 \cdot 55 \):
\[
12 \cdot 55 = 660
\]
So we have:
\[
11u = 660
\]
Now, solve for \( u \) by dividing both sides by 11:
\[
u = \frac{660}{11}
\]
Calculating the division:
\[
u = 60
\]
Thus, the solution is:
\[
u = 60
\]
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