Question

Solve the proportion.
7/1
=
56/b
b=

Answers

Answered by GPT-4o mini
To solve the proportion \( \frac{7}{1} = \frac{56}{b} \), you can use cross-multiplication. This means you will multiply the numerator of the first fraction by the denominator of the second fraction and set it equal to the numerator of the second fraction multiplied by the denominator of the first fraction.

So, we have:

\[
7 \cdot b = 56 \cdot 1
\]

This simplifies to:

\[
7b = 56
\]

Now, divide both sides by 7 to solve for \( b \):

\[
b = \frac{56}{7}
\]

Calculating that gives:

\[
b = 8
\]

Thus, the solution is:

\[
b = 8
\]
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