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\frac{40+7}{10}\times \frac{3\times 3+2}{3}
Multiply 4 and 10 to get 40.
\frac{47}{10}\times \frac{3\times 3+2}{3}
Add 40 and 7 to get 47.
\frac{47}{10}\times \frac{9+2}{3}
Multiply 3 and 3 to get 9.
\frac{47}{10}\times \frac{11}{3}
Add 9 and 2 to get 11.
\frac{47\times 11}{10\times 3}
Multiply \frac{47}{10} times \frac{11}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{517}{30}
Do the multiplications in the fraction \frac{47\times 11}{10\times 3}.