Solve 65left(65*9-300right)^2/15*50*20*45=6.635

$$\frac{ 65 { \left(65 \times 9-300 \right) }^{ 2 } }{ 15 \times 50 \times 20 \times 45 } =6.635$$

Verify

Solution Steps

Cancel out 5 in both numerator and denominator.

$$\frac{13\left(9\times 65-300\right)^{2}}{3\times 20\times 45\times 50}=6.635$$

Multiply 9 and 65 to get 585.

$$\frac{13\left(585-300\right)^{2}}{3\times 20\times 45\times 50}=6.635$$

Subtract 300 from 585 to get 285.

$$\frac{13\times 285^{2}}{3\times 20\times 45\times 50}=6.635$$

Calculate 285 to the power of 2 and get 81225.

$$\frac{13\times 81225}{3\times 20\times 45\times 50}=6.635$$

Multiply 13 and 81225 to get 1055925.

$$\frac{1055925}{3\times 20\times 45\times 50}=6.635$$

Multiply 3 and 20 to get 60.

$$\frac{1055925}{60\times 45\times 50}=6.635$$

Multiply 60 and 45 to get 2700.

$$\frac{1055925}{2700\times 50}=6.635$$

Multiply 2700 and 50 to get 135000.

$$\frac{1055925}{135000}=6.635$$

Reduce the fraction \frac{1055925}{135000} to lowest terms by extracting and canceling out 225.

$$\frac{4693}{600}=6.635$$

Convert decimal number 6.635 to fraction \frac{6635}{1000}. Reduce the fraction \frac{6635}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{4693}{600}=\frac{1327}{200}$$

Least common multiple of 600 and 200 is 600. Convert \frac{4693}{600} and \frac{1327}{200} to fractions with denominator 600.

$$\frac{4693}{600}=\frac{3981}{600}$$

Compare \frac{4693}{600} and \frac{3981}{600}.

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