Solve 46*125+11/4*43-09*125%-1

$$46 \times 125 + 1 \frac { 1 } { 4 } \times 43 - 09 \times 125 \% - 1$$

Evaluate

$$\frac{23211}{4}=5802.75$$

Solution Steps

Multiply 46 and 125 to get 5750.

$$5750+\frac{1\times 4+1}{4}\times 43-0\times 9\times \frac{125}{100}-1$$

Multiply 1 and 4 to get 4.

$$5750+\frac{4+1}{4}\times 43-0\times 9\times \frac{125}{100}-1$$

Add 4 and 1 to get 5.

$$5750+\frac{5}{4}\times 43-0\times 9\times \frac{125}{100}-1$$

Express \frac{5}{4}\times 43 as a single fraction.

$$5750+\frac{5\times 43}{4}-0\times 9\times \frac{125}{100}-1$$

Multiply 5 and 43 to get 215.

$$5750+\frac{215}{4}-0\times 9\times \frac{125}{100}-1$$

Convert 5750 to fraction \frac{23000}{4}.

$$\frac{23000}{4}+\frac{215}{4}-0\times 9\times \frac{125}{100}-1$$

Since \frac{23000}{4} and \frac{215}{4} have the same denominator, add them by adding their numerators.

$$\frac{23000+215}{4}-0\times 9\times \frac{125}{100}-1$$

Add 23000 and 215 to get 23215.

$$\frac{23215}{4}-0\times 9\times \frac{125}{100}-1$$

Multiply 0 and 9 to get 0.

$$\frac{23215}{4}-0\times \frac{125}{100}-1$$

Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{23215}{4}-0\times \frac{5}{4}-1$$

Multiply 0 and \frac{5}{4} to get 0.

$$\frac{23215}{4}-0-1$$

Subtract 0 from \frac{23215}{4} to get \frac{23215}{4}.

$$\frac{23215}{4}-1$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{23215}{4}-\frac{4}{4}$$

Since \frac{23215}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23215-4}{4}$$

Subtract 4 from 23215 to get 23211.

$$\frac{23211}{4}$$

Factor

$$\frac{3 ^ {2} \cdot 2579}{2 ^ {2}} = 5802\frac{3}{4} = 5802.75$$