$$( 2 \frac { 1 } { 2 } ) \times ( 2 \frac { 1 } { 3 } ) \times ( \frac { 30 } { 4 } )$$
$\frac{175}{4}=43.75$
$$\frac{4+1}{2}\times \frac{2\times 3+1}{3}\times \frac{30}{4}$$
$$\frac{5}{2}\times \frac{2\times 3+1}{3}\times \frac{30}{4}$$
$$\frac{5}{2}\times \frac{6+1}{3}\times \frac{30}{4}$$
$$\frac{5}{2}\times \frac{7}{3}\times \frac{30}{4}$$
$$\frac{5\times 7}{2\times 3}\times \frac{30}{4}$$
$$\frac{35}{6}\times \frac{30}{4}$$
$$\frac{35}{6}\times \frac{15}{2}$$
$$\frac{35\times 15}{6\times 2}$$
$$\frac{525}{12}$$
$$\frac{175}{4}$$
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$\frac{5 ^ {2} \cdot 7}{2 ^ {2}} = 43\frac{3}{4} = 43.75$
