ANSWER
Lea can wash 4½ loads of laundry with the remaining detergent.
EXPLANATION
Quantity of detergent left
[tex] = \frac{3}{4} [/tex]
Quantity required to watch each load
[tex] = \frac{1}{6} [/tex]
Number of loads Lea can wash
[tex] = \frac{3}{4} \div \frac{1}{6} [/tex]
We now simplify this by multiplying with the reciprocal
Number of loads Lea can wash
[tex] = \frac{3}{4} \times \frac{6}{1} [/tex]
[tex] = \frac{3}{2} \times \frac{3}{1} [/tex]
[tex] = \frac{9}{2} [/tex]
[tex] = 4 \frac{1}{2} [/tex]
Therefore Lea can wash 4½ loads of laundry with the remaining detergent.
