Question: e) $4.8 \div \frac{33}{4}$

Solution

To divide \(4.8\) by \(\frac{33}{4}\), follow these steps: Convert division by a fraction into multiplication by its reciprocal. So, we have: \[ 4.8 \div \frac{33}{4} = 4.8 \times \frac{4}{33} \] Convert \(4.8\) to a fraction: \[ 4.8 = \frac{48}{10} \] Multiply the fractions: \[ \frac{48}{10} \times \frac{4}{33} = \frac{48 \times 4}{10 \times 33} \] Calculate the numerator and the denominator: \[ 48 \times 4 = 192 \] \[ 10 \times 33 = 330 \] So, the fraction becomes: \[ \frac{192}{330} \] Simplify the fraction by finding the greatest common divisor of 192 and 330, which is 6: \[ \frac{192 \div 6}{330 \div 6} = \frac{32}{55} \] Thus, the result is: \[ \frac{32}{55} \]