Solve 100*(-0.92+0.404/4*173+0.92+0.426/4*95)

$$100 \times (- \frac{ 0.92+0.404 }{ 4 } \times 173+ \frac{ 0.92+0.426 }{ 4 } \times 95)$$

Evaluate

$$-2529.55$$

Solution Steps

Add 0.92 and 0.404 to get 1.324.

$$100\left(\left(-\frac{1.324}{4}\right)\times 173+\frac{0.92+0.426}{4}\times 95\right)$$

Expand \frac{1.324}{4} by multiplying both numerator and the denominator by 1000.

$$100\left(\left(-\frac{1324}{4000}\right)\times 173+\frac{0.92+0.426}{4}\times 95\right)$$

Reduce the fraction \frac{1324}{4000} to lowest terms by extracting and canceling out 4.

$$100\left(-\frac{331}{1000}\times 173+\frac{0.92+0.426}{4}\times 95\right)$$

Express -\frac{331}{1000}\times 173 as a single fraction.

$$100\left(\frac{-331\times 173}{1000}+\frac{0.92+0.426}{4}\times 95\right)$$

Multiply -331 and 173 to get -57263.

$$100\left(\frac{-57263}{1000}+\frac{0.92+0.426}{4}\times 95\right)$$

Fraction \frac{-57263}{1000} can be rewritten as -\frac{57263}{1000} by extracting the negative sign.

$$100\left(-\frac{57263}{1000}+\frac{0.92+0.426}{4}\times 95\right)$$

Add 0.92 and 0.426 to get 1.346.

$$100\left(-\frac{57263}{1000}+\frac{1.346}{4}\times 95\right)$$

Expand \frac{1.346}{4} by multiplying both numerator and the denominator by 1000.

$$100\left(-\frac{57263}{1000}+\frac{1346}{4000}\times 95\right)$$

Reduce the fraction \frac{1346}{4000} to lowest terms by extracting and canceling out 2.

$$100\left(-\frac{57263}{1000}+\frac{673}{2000}\times 95\right)$$

Express \frac{673}{2000}\times 95 as a single fraction.

$$100\left(-\frac{57263}{1000}+\frac{673\times 95}{2000}\right)$$

Multiply 673 and 95 to get 63935.

$$100\left(-\frac{57263}{1000}+\frac{63935}{2000}\right)$$

Reduce the fraction \frac{63935}{2000} to lowest terms by extracting and canceling out 5.

$$100\left(-\frac{57263}{1000}+\frac{12787}{400}\right)$$

Least common multiple of 1000 and 400 is 2000. Convert -\frac{57263}{1000} and \frac{12787}{400} to fractions with denominator 2000.

$$100\left(-\frac{114526}{2000}+\frac{63935}{2000}\right)$$

Since -\frac{114526}{2000} and \frac{63935}{2000} have the same denominator, add them by adding their numerators.

$$100\times \frac{-114526+63935}{2000}$$

Add -114526 and 63935 to get -50591.

$$100\left(-\frac{50591}{2000}\right)$$

Express 100\left(-\frac{50591}{2000}\right) as a single fraction.

$$\frac{100\left(-50591\right)}{2000}$$

Multiply 100 and -50591 to get -5059100.

$$\frac{-5059100}{2000}$$

Reduce the fraction \frac{-5059100}{2000} to lowest terms by extracting and canceling out 100.

$$-\frac{50591}{20}$$

Factor

$$-2529.55$$