Solve 2215*1left(28-22right)+557*022left(28-22right)+258*022left(28-22right)/1572left(97-23right)

$$\frac{ 2215 \cdot 1 \left( 28-22 \right) +557 \cdot 022 \left( 28-22 \right) +258 \cdot 022 \left( 28-22 \right) }{ 1572 \left( 97-23 \right) }$$

Evaluate

$$\frac{2215}{19388}\approx 0.114245925$$

Solution Steps

Multiply 2215 and 1 to get 2215. Multiply 557 and 0 to get 0. Multiply 258 and 0 to get 0.

$$\frac{2215\left(28-22\right)+0\times 22\left(28-22\right)+0\times 22\left(28-22\right)}{1572\left(97-23\right)}$$

Subtract 22 from 28 to get 6.

$$\frac{2215\times 6+0\times 22\left(28-22\right)+0\times 22\left(28-22\right)}{1572\left(97-23\right)}$$

Multiply 2215 and 6 to get 13290.

$$\frac{13290+0\times 22\left(28-22\right)+0\times 22\left(28-22\right)}{1572\left(97-23\right)}$$

Multiply 0 and 22 to get 0.

$$\frac{13290+0\left(28-22\right)+0\times 22\left(28-22\right)}{1572\left(97-23\right)}$$

Subtract 22 from 28 to get 6.

$$\frac{13290+0\times 6+0\times 22\left(28-22\right)}{1572\left(97-23\right)}$$

Multiply 0 and 6 to get 0.

$$\frac{13290+0+0\times 22\left(28-22\right)}{1572\left(97-23\right)}$$

Add 13290 and 0 to get 13290.

$$\frac{13290+0\times 22\left(28-22\right)}{1572\left(97-23\right)}$$

Multiply 0 and 22 to get 0.

$$\frac{13290+0\left(28-22\right)}{1572\left(97-23\right)}$$

Subtract 22 from 28 to get 6.

$$\frac{13290+0\times 6}{1572\left(97-23\right)}$$

Multiply 0 and 6 to get 0.

$$\frac{13290+0}{1572\left(97-23\right)}$$

Add 13290 and 0 to get 13290.

$$\frac{13290}{1572\left(97-23\right)}$$

Subtract 23 from 97 to get 74.

$$\frac{13290}{1572\times 74}$$

Multiply 1572 and 74 to get 116328.

$$\frac{13290}{116328}$$

Reduce the fraction \frac{13290}{116328} to lowest terms by extracting and canceling out 6.

$$\frac{2215}{19388}$$

Factor

$$\frac{5 \cdot 443}{2 ^ {2} \cdot 37 \cdot 131} = 0.1142459253146276$$