Solve 6*748-49*34+6*748/748

$$6 \cdot 748 - \frac { 49 \cdot 34 + 6 \cdot 748 } { 748 }$$

Evaluate

$$\frac{98555}{22}\approx 4479.772727273$$

Solution Steps

Multiply 6 and 748 to get 4488.

$$4488-\frac{49\times 34+6\times 748}{748}$$

Multiply 49 and 34 to get 1666. Multiply 6 and 748 to get 4488.

$$4488-\frac{1666+4488}{748}$$

Add 1666 and 4488 to get 6154.

$$4488-\frac{6154}{748}$$

Reduce the fraction \frac{6154}{748} to lowest terms by extracting and canceling out 34.

$$4488-\frac{181}{22}$$

Convert 4488 to fraction \frac{98736}{22}.

$$\frac{98736}{22}-\frac{181}{22}$$

Since \frac{98736}{22} and \frac{181}{22} have the same denominator, subtract them by subtracting their numerators.

$$\frac{98736-181}{22}$$

Subtract 181 from 98736 to get 98555.

$$\frac{98555}{22}$$

Factor

$$\frac{5 \cdot 23 \cdot 857}{2 \cdot 11} = 4479\frac{17}{22} = 4479.772727272727$$