How many `(1)/(10)` are in `(6)/(5)` ?

Options

A. 8
B. 5
C. 12
D. 10

Answer

To find out how many \( \frac{1}{10} \) are in \( \frac{6}{5} \), we can set up the equation as follows:

1. **Set up the equation**: Let \( x \) be the number of \( \frac{1}{10} \) in \( \frac{6}{5} \). We can express this as:
\[ \frac{1}{10} \times x = \frac{6}{5} \]

2. **Multiply both sides by 10**: To eliminate the fraction on the left side, we can multiply both sides of the equation by 10:
\[ x = \frac{6}{5} \times 10 \]

3. **Simplify the right side**: Now, we can simplify the right side:
\[ x = \frac{6 \times 10}{5} \]

4. **Perform the multiplication**: Calculate \( 6 \times 10 \):
\[ x = \frac{60}{5} \]

5. **Divide**: Now, divide 60 by 5:
\[ x = 12 \]

Thus, there are **12** \( \frac{1}{10} \) in \( \frac{6}{5} \).