Solve 221.5*1left(28-22right)+55.7*0.22left(28-22right)+25.8*0.22left(28-22right)/157.2left(97-23right)

$$\frac{ 221.5 \cdot 1 \left( 28-22 \right) +55.7 \cdot 0.22 \left( 28-22 \right) +25.8 \cdot 0.22 \left( 28-22 \right) }{ 157.2 \left( 97-23 \right) }$$

Evaluate

$$\frac{23943}{193880}\approx 0.123493914$$

Solution Steps

Multiply 221.5 and 1 to get 221.5.

$$\frac{221.5\left(28-22\right)+55.7\times 0.22\left(28-22\right)+25.8\times 0.22\left(28-22\right)}{157.2\left(97-23\right)}$$

Subtract 22 from 28 to get 6.

$$\frac{221.5\times 6+55.7\times 0.22\left(28-22\right)+25.8\times 0.22\left(28-22\right)}{157.2\left(97-23\right)}$$

Multiply 221.5 and 6 to get 1329.

$$\frac{1329+55.7\times 0.22\left(28-22\right)+25.8\times 0.22\left(28-22\right)}{157.2\left(97-23\right)}$$

Multiply 55.7 and 0.22 to get 12.254.

$$\frac{1329+12.254\left(28-22\right)+25.8\times 0.22\left(28-22\right)}{157.2\left(97-23\right)}$$

Subtract 22 from 28 to get 6.

$$\frac{1329+12.254\times 6+25.8\times 0.22\left(28-22\right)}{157.2\left(97-23\right)}$$

Multiply 12.254 and 6 to get 73.524.

$$\frac{1329+73.524+25.8\times 0.22\left(28-22\right)}{157.2\left(97-23\right)}$$

Add 1329 and 73.524 to get 1402.524.

$$\frac{1402.524+25.8\times 0.22\left(28-22\right)}{157.2\left(97-23\right)}$$

Multiply 25.8 and 0.22 to get 5.676.

$$\frac{1402.524+5.676\left(28-22\right)}{157.2\left(97-23\right)}$$

Subtract 22 from 28 to get 6.

$$\frac{1402.524+5.676\times 6}{157.2\left(97-23\right)}$$

Multiply 5.676 and 6 to get 34.056.

$$\frac{1402.524+34.056}{157.2\left(97-23\right)}$$

Add 1402.524 and 34.056 to get 1436.58.

$$\frac{1436.58}{157.2\left(97-23\right)}$$

Subtract 23 from 97 to get 74.

$$\frac{1436.58}{157.2\times 74}$$

Multiply 157.2 and 74 to get 11632.8.

$$\frac{1436.58}{11632.8}$$

Expand \frac{1436.58}{11632.8} by multiplying both numerator and the denominator by 100.

$$\frac{143658}{1163280}$$

Reduce the fraction \frac{143658}{1163280} to lowest terms by extracting and canceling out 6.

$$\frac{23943}{193880}$$

Factor

$$\frac{3 \cdot 23 \cdot 347}{5 \cdot 37 \cdot 131 \cdot 2 ^ {3}} = 0.12349391376108933$$