$$( 9 - 2 \frac { 2 } { 3 } \cdot 2 \frac { 1 } { 7 } ) \cdot \frac { 21 } { 46 } =$$
$\frac{3}{2}=1.5$
$$\left(9-\frac{6+2}{3}\times \frac{2\times 7+1}{7}\right)\times \frac{21}{46}$$
$$\left(9-\frac{8}{3}\times \frac{2\times 7+1}{7}\right)\times \frac{21}{46}$$
$$\left(9-\frac{8}{3}\times \frac{14+1}{7}\right)\times \frac{21}{46}$$
$$\left(9-\frac{8}{3}\times \frac{15}{7}\right)\times \frac{21}{46}$$
$$\left(9-\frac{8\times 15}{3\times 7}\right)\times \frac{21}{46}$$
$$\left(9-\frac{120}{21}\right)\times \frac{21}{46}$$
$$\left(9-\frac{40}{7}\right)\times \frac{21}{46}$$
$$\left(\frac{63}{7}-\frac{40}{7}\right)\times \frac{21}{46}$$
$$\frac{63-40}{7}\times \frac{21}{46}$$
$$\frac{23}{7}\times \frac{21}{46}$$
$$\frac{23\times 21}{7\times 46}$$
$$\frac{483}{322}$$
$$\frac{3}{2}$$
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$\frac{3}{2} = 1\frac{1}{2} = 1.5$
