$$( 5 \frac { 1 } { 4 } - 3 \frac { 2 } { 5 } ) ( 5 \frac { 1 } { 2 } \div 2 \frac { 1 } { 4 } )$$
$\frac{407}{90}\approx 4.522222222$
$$\left(\frac{20+1}{4}-\frac{3\times 5+2}{5}\right)\times \frac{\frac{5\times 2+1}{2}}{\frac{2\times 4+1}{4}}$$
$$\left(\frac{21}{4}-\frac{3\times 5+2}{5}\right)\times \frac{\frac{5\times 2+1}{2}}{\frac{2\times 4+1}{4}}$$
$$\left(\frac{21}{4}-\frac{15+2}{5}\right)\times \frac{\frac{5\times 2+1}{2}}{\frac{2\times 4+1}{4}}$$
$$\left(\frac{21}{4}-\frac{17}{5}\right)\times \frac{\frac{5\times 2+1}{2}}{\frac{2\times 4+1}{4}}$$
$$\left(\frac{105}{20}-\frac{68}{20}\right)\times \frac{\frac{5\times 2+1}{2}}{\frac{2\times 4+1}{4}}$$
$$\frac{105-68}{20}\times \frac{\frac{5\times 2+1}{2}}{\frac{2\times 4+1}{4}}$$
$$\frac{37}{20}\times \frac{\frac{5\times 2+1}{2}}{\frac{2\times 4+1}{4}}$$
$$\frac{37}{20}\times \frac{\left(5\times 2+1\right)\times 4}{2\left(2\times 4+1\right)}$$
$$\frac{37}{20}\times \frac{2\left(1+2\times 5\right)}{1+2\times 4}$$
$$\frac{37}{20}\times \frac{2\left(1+10\right)}{1+2\times 4}$$
$$\frac{37}{20}\times \frac{2\times 11}{1+2\times 4}$$
$$\frac{37}{20}\times \frac{22}{1+2\times 4}$$
$$\frac{37}{20}\times \frac{22}{1+8}$$
$$\frac{37}{20}\times \frac{22}{9}$$
$$\frac{37\times 22}{20\times 9}$$
$$\frac{814}{180}$$
$$\frac{407}{90}$$
Show Solution
Hide Solution
$\frac{11 \cdot 37}{2 \cdot 3 ^ {2} \cdot 5} = 4\frac{47}{90} = 4.522222222222222$
