Question

Find the value for ? to make the equation true. Enter the answer in the box.

28/100=?/10+8/100


(1 point)
? =

Answer 1

To solve for \( ? \) in the equation:

\[
\frac{28}{100} = \frac{?}{10} + \frac{8}{100}
\]

First, we can consolidate the right side of the equation. To do that, we need a common denominator for the fractions. The common denominator between \( 10 \) and \( 100 \) is \( 100 \).

We can rewrite \( \frac{?}{10} \) with a denominator of \( 100 \):

\[
\frac{?}{10} = \frac{? \times 10}{100} = \frac{10?}{100}
\]

Now we can rewrite the equation:

\[
\frac{28}{100} = \frac{10? + 8}{100}
\]

Since the denominators are the same, we can set the numerators equal to each other:

\[
28 = 10? + 8
\]

Next, we isolate \( 10? \) by subtracting \( 8 \) from both sides:

\[
28 - 8 = 10?
\]
\[
20 = 10?
\]

Now, we can solve for \( ? \) by dividing both sides by \( 10 \):

\[
? = \frac{20}{10} = 2
\]

Thus, the value for \( ? \) is:

\[
\boxed{2}
\]