Step 1: Understanding the Concept:
This is a straightforward linear equation problem. We translate the word problem into a mathematical equation to find the unknown number, and then find the required fraction of it. Step 2: Key Formula or Approach:
Let the unknown number be \(x\).
"One third of one-fourth of a number" translates to \( \frac{1}{3} \times \frac{1}{4} \times x \). Step 3: Detailed Explanation:
1. Set up the equation based on the first statement:
\[ \frac{1}{3} \times \frac{1}{4} \times x = 15 \]
2. Simplify the fractions:
\[ \frac{1}{12} \times x = 15 \]
3. Solve for \(x\):
\[ x = 15 \times 12 \]
\[ x = 180 \]
The number is 180.
4. Calculate "three-tenth of that number":
\[ \text{Required value} = \frac{3}{10} \times 180 \]
\[ \text{Required value} = 3 \times 18 \]
\[ \text{Required value} = 54 \] Step 4: Final Answer:
Three-tenth of the number is 54.