Solve 28+7900:1001*38-5901+2200

$$28 + 7900 : 1001 \times 38 - 5901 + 2200$$

Evaluate

$$-\frac{3376473}{1001}\approx -3373.0999001$$

Solution Steps

Express \frac{7900}{1001}\times 38 as a single fraction.

$$28+\frac{7900\times 38}{1001}-5901+2200$$

Multiply 7900 and 38 to get 300200.

$$28+\frac{300200}{1001}-5901+2200$$

Convert 28 to fraction \frac{28028}{1001}.

$$\frac{28028}{1001}+\frac{300200}{1001}-5901+2200$$

Since \frac{28028}{1001} and \frac{300200}{1001} have the same denominator, add them by adding their numerators.

$$\frac{28028+300200}{1001}-5901+2200$$

Add 28028 and 300200 to get 328228.

$$\frac{328228}{1001}-5901+2200$$

Convert 5901 to fraction \frac{5906901}{1001}.

$$\frac{328228}{1001}-\frac{5906901}{1001}+2200$$

Since \frac{328228}{1001} and \frac{5906901}{1001} have the same denominator, subtract them by subtracting their numerators.

$$\frac{328228-5906901}{1001}+2200$$

Subtract 5906901 from 328228 to get -5578673.

$$-\frac{5578673}{1001}+2200$$

Convert 2200 to fraction \frac{2202200}{1001}.

$$-\frac{5578673}{1001}+\frac{2202200}{1001}$$

Since -\frac{5578673}{1001} and \frac{2202200}{1001} have the same denominator, add them by adding their numerators.

$$\frac{-5578673+2202200}{1001}$$

Add -5578673 and 2202200 to get -3376473.

$$-\frac{3376473}{1001}$$

Factor

$$-\frac{3376473}{1001} = -3373\frac{100}{1001} = -3373.0999000999$$