Solve 34/74*12n/55-34/74*48/55

$$\frac { 34 } { 74 } \cdot \frac { 12 n } { 55 } - \frac { 34 } { 74 } \cdot \frac { 48 } { 55 }$$

Evaluate

$$\frac{204\left(n-4\right)}{2035}$$

Short Solution Steps

Reduce the fraction \frac{34}{74} to lowest terms by extracting and canceling out 2.

$$\frac{17}{37}\times \frac{12n}{55}-\frac{34}{74}\times \frac{48}{55}$$

Multiply \frac{17}{37} times \frac{12n}{55} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 12n}{37\times 55}-\frac{34}{74}\times \frac{48}{55}$$

Reduce the fraction \frac{34}{74} to lowest terms by extracting and canceling out 2.

$$\frac{17\times 12n}{37\times 55}-\frac{17}{37}\times \frac{48}{55}$$

Multiply \frac{17}{37} times \frac{48}{55} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 12n}{37\times 55}-\frac{17\times 48}{37\times 55}$$

Do the multiplications in the fraction \frac{17\times 48}{37\times 55}.

$$\frac{17\times 12n}{37\times 55}-\frac{816}{2035}$$

To add or subtract expressions, expand them to make their denominators the same. Expand 37\times 55.

$$\frac{17\times 12n}{2035}-\frac{816}{2035}$$

Since \frac{17\times 12n}{2035} and \frac{816}{2035} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17\times 12n-816}{2035}$$

Do the multiplications in 17\times 12n-816.

$$\frac{204n-816}{2035}$$

Factor

$$\frac{204\left(n-4\right)}{2035}$$

Solution Steps

Factor out \frac{204}{2035}.

$$\frac{204\left(n-4\right)}{2035}$$