10/11 = (110)/?

Options

A. 111
B. 1100
C. 121
D. 100

Answer

To solve the equation \( \frac{10}{11} = \frac{110}{?} \), we can follow these steps:

### Step 1: Set up the equation
We start with the equation:
\[ \frac{10}{11} = \frac{110}{x} \]
where \( x \) is the unknown we need to find.

### Step 2: Cross-multiply
To eliminate the fractions, we can cross-multiply:
\[ 10 \cdot x = 110 \cdot 11 \]

### Step 3: Calculate the right side
Now, we calculate \( 110 \cdot 11 \):
\[ 110 \cdot 11 = 1210 \]
So the equation now looks like:
\[ 10x = 1210 \]

### Step 4: Solve for \( x \)
Next, we divide both sides by 10 to solve for \( x \):
\[ x = \frac{1210}{10} \]
Calculating this gives:
\[ x = 121 \]

### Conclusion
Thus, the value of the question mark \( ? \) is:
\[ \boxed{121} \]

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