Subjects arithmetic

Decimal Division Ef5229

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Decimal Division Ef5229


1. **State the problem:** We need to calculate the value of $\frac{2.5}{0.012}$. 2. **Formula and rules:** Division of decimals can be simplified by multiplying numerator and denominator by the same power of 10 to eliminate decimals. 3. Multiply numerator and denominator by 1000 to remove decimals: $$\frac{2.5}{0.012} = \frac{2.5 \times 1000}{0.012 \times 1000} = \frac{2500}{12}$$ 4. Now divide 2500 by 12: $$2500 \div 12 = 208.333\ldots$$ 5. So, the exact value is $208.\overline{3}$ or approximately 208.33. **Final answer:** $$\frac{2.5}{0.012} = 208.\overline{3}$$