Find the difference between $5\frac{2}{3}$523 and $3\frac{2}{5}$325 and multiply this by $3\frac{5}{9}$359.

Valentina had to pay $\$700$$700 as a deposit on a new couch. The deposit was $\frac{10}{19}$1019 of the full price.

How many pieces of steel, each $4\frac{1}{4}$414 metres long can be cut from a wire $153$153 metres long?

There are $5$5 men working on a truck.

$3$3 men take$\frac{47}{7}$477 hours to fix a truck.

Assume all men work at the same rate.

Solve problems requiring the manipulation of expressions arising from applications of percent, ratio, rate, and proportion