To divide 105 by 0.15, you can follow these steps:
Convert the division to a simpler fraction: \[ 105 \div 0.15 = 105 \div \left(\frac{15}{100}\right) \]
Inverting the fraction: When you divide by a fraction, it's equivalent to multiplying by its reciprocal: \[ 105 \times \frac{100}{15} \]
Simplifying the multiplication: Calculate \( \frac{100}{15} \): \[ \frac{100}{15} = \frac{20}{3} \]
Now multiply: \[ 105 \times \frac{20}{3} = \frac{105 \times 20}{3} = \frac{2100}{3} = 700 \]
Therefore, \( 105 \div 0.15 = 700 \).