Solve 315/368*(1+96*3)/284/6

$$\frac { \frac { 315 } { 368 } \times ( 1 + 96 \times 3 ) } { 284 } / 6$$

Evaluate

$$\frac{30345}{209024}\approx 0.145174717$$

Solution Steps

Express \frac{\frac{\frac{315}{368}\left(1+96\times 3\right)}{284}}{6} as a single fraction.

$$\frac{\frac{315}{368}\left(1+96\times 3\right)}{284\times 6}$$

Multiply 96 and 3 to get 288.

$$\frac{\frac{315}{368}\left(1+288\right)}{284\times 6}$$

Add 1 and 288 to get 289.

$$\frac{\frac{315}{368}\times 289}{284\times 6}$$

Express \frac{315}{368}\times 289 as a single fraction.

$$\frac{\frac{315\times 289}{368}}{284\times 6}$$

Multiply 315 and 289 to get 91035.

$$\frac{\frac{91035}{368}}{284\times 6}$$

Multiply 284 and 6 to get 1704.

$$\frac{\frac{91035}{368}}{1704}$$

Express \frac{\frac{91035}{368}}{1704} as a single fraction.

$$\frac{91035}{368\times 1704}$$

Multiply 368 and 1704 to get 627072.

$$\frac{91035}{627072}$$

Reduce the fraction \frac{91035}{627072} to lowest terms by extracting and canceling out 3.

$$\frac{30345}{209024}$$

Factor

$$\frac{3 \cdot 5 \cdot 7 \cdot 17 ^ {2}}{2 ^ {7} \cdot 23 \cdot 71} = 0.14517471677893448$$