Solve 217left(74+12*19right)45*38/817

$$217 \left( 74+12 \cdot 19 \right) 4 \frac{ 5 \cdot 38 }{ 817 }$$

Evaluate

$$\frac{2621360}{43}\approx 60961.860465116$$

Solution Steps

Multiply 12 and 19 to get 228.

$$217\left(74+228\right)\times 4\times \frac{5\times 38}{817}$$

Add 74 and 228 to get 302.

$$217\times 302\times 4\times \frac{5\times 38}{817}$$

Multiply 217 and 302 to get 65534.

$$65534\times 4\times \frac{5\times 38}{817}$$

Multiply 65534 and 4 to get 262136.

$$262136\times \frac{5\times 38}{817}$$

Multiply 5 and 38 to get 190.

$$262136\times \frac{190}{817}$$

Reduce the fraction \frac{190}{817} to lowest terms by extracting and canceling out 19.

$$262136\times \frac{10}{43}$$

Express 262136\times \frac{10}{43} as a single fraction.

$$\frac{262136\times 10}{43}$$

Multiply 262136 and 10 to get 2621360.

$$\frac{2621360}{43}$$

Factor

$$\frac{2 ^ {4} \cdot 5 \cdot 7 \cdot 31 \cdot 151}{43} = 60961\frac{37}{43} = 60961.86046511628$$