Solve 100*(-0.92+0.322/4*86+0.9+0.404/4*173)

$$100 \times (- \frac{ 0.92+0.322 }{ 4 } \times 86+ \frac{ 0.9+0.404 }{ 4 } \times 173)$$

Evaluate

$$2969.5$$

Solution Steps

Add 0.92 and 0.322 to get 1.242.

$$100\left(\left(-\frac{1.242}{4}\right)\times 86+\frac{0.9+0.404}{4}\times 173\right)$$

Expand \frac{1.242}{4} by multiplying both numerator and the denominator by 1000.

$$100\left(\left(-\frac{1242}{4000}\right)\times 86+\frac{0.9+0.404}{4}\times 173\right)$$

Reduce the fraction \frac{1242}{4000} to lowest terms by extracting and canceling out 2.

$$100\left(-\frac{621}{2000}\times 86+\frac{0.9+0.404}{4}\times 173\right)$$

Express -\frac{621}{2000}\times 86 as a single fraction.

$$100\left(\frac{-621\times 86}{2000}+\frac{0.9+0.404}{4}\times 173\right)$$

Multiply -621 and 86 to get -53406.

$$100\left(\frac{-53406}{2000}+\frac{0.9+0.404}{4}\times 173\right)$$

Reduce the fraction \frac{-53406}{2000} to lowest terms by extracting and canceling out 2.

$$100\left(-\frac{26703}{1000}+\frac{0.9+0.404}{4}\times 173\right)$$

Add 0.9 and 0.404 to get 1.304.

$$100\left(-\frac{26703}{1000}+\frac{1.304}{4}\times 173\right)$$

Expand \frac{1.304}{4} by multiplying both numerator and the denominator by 1000.

$$100\left(-\frac{26703}{1000}+\frac{1304}{4000}\times 173\right)$$

Reduce the fraction \frac{1304}{4000} to lowest terms by extracting and canceling out 8.

$$100\left(-\frac{26703}{1000}+\frac{163}{500}\times 173\right)$$

Express \frac{163}{500}\times 173 as a single fraction.

$$100\left(-\frac{26703}{1000}+\frac{163\times 173}{500}\right)$$

Multiply 163 and 173 to get 28199.

$$100\left(-\frac{26703}{1000}+\frac{28199}{500}\right)$$

Least common multiple of 1000 and 500 is 1000. Convert -\frac{26703}{1000} and \frac{28199}{500} to fractions with denominator 1000.

$$100\left(-\frac{26703}{1000}+\frac{56398}{1000}\right)$$

Since -\frac{26703}{1000} and \frac{56398}{1000} have the same denominator, add them by adding their numerators.

$$100\times \frac{-26703+56398}{1000}$$

Add -26703 and 56398 to get 29695.

$$100\times \frac{29695}{1000}$$

Reduce the fraction \frac{29695}{1000} to lowest terms by extracting and canceling out 5.

$$100\times \frac{5939}{200}$$

Express 100\times \frac{5939}{200} as a single fraction.

$$\frac{100\times 5939}{200}$$

Multiply 100 and 5939 to get 593900.

$$\frac{593900}{200}$$

Reduce the fraction \frac{593900}{200} to lowest terms by extracting and canceling out 100.

$$\frac{5939}{2}$$

Factor

$$\frac{5939}{2} = 2969\frac{1}{2} = 2969.5$$