Solve 3(3/53)4quad8(51)49(3)5

$$3 ( \frac { 3 } { 53 } ) 4 \quad 8 ( 51 ) 49 ( 3 ) 5$$

Evaluate

$$\frac{10795680}{53}\approx 203692.075471698$$

Solution Steps

Express 3\times \frac{3}{53} as a single fraction.

$$\frac{3\times 3}{53}\times 4\times 8\times 51\times 49\times 3\times 5$$

Multiply 3 and 3 to get 9.

$$\frac{9}{53}\times 4\times 8\times 51\times 49\times 3\times 5$$

Express \frac{9}{53}\times 4 as a single fraction.

$$\frac{9\times 4}{53}\times 8\times 51\times 49\times 3\times 5$$

Multiply 9 and 4 to get 36.

$$\frac{36}{53}\times 8\times 51\times 49\times 3\times 5$$

Express \frac{36}{53}\times 8 as a single fraction.

$$\frac{36\times 8}{53}\times 51\times 49\times 3\times 5$$

Multiply 36 and 8 to get 288.

$$\frac{288}{53}\times 51\times 49\times 3\times 5$$

Express \frac{288}{53}\times 51 as a single fraction.

$$\frac{288\times 51}{53}\times 49\times 3\times 5$$

Multiply 288 and 51 to get 14688.

$$\frac{14688}{53}\times 49\times 3\times 5$$

Express \frac{14688}{53}\times 49 as a single fraction.

$$\frac{14688\times 49}{53}\times 3\times 5$$

Multiply 14688 and 49 to get 719712.

$$\frac{719712}{53}\times 3\times 5$$

Express \frac{719712}{53}\times 3 as a single fraction.

$$\frac{719712\times 3}{53}\times 5$$

Multiply 719712 and 3 to get 2159136.

$$\frac{2159136}{53}\times 5$$

Express \frac{2159136}{53}\times 5 as a single fraction.

$$\frac{2159136\times 5}{53}$$

Multiply 2159136 and 5 to get 10795680.

$$\frac{10795680}{53}$$

Factor

$$\frac{2 ^ {5} \cdot 3 ^ {4} \cdot 5 \cdot 7 ^ {2} \cdot 17}{53} = 203692\frac{4}{53} = 203692.0754716981$$