Solve 34/74*122/55-34/74*48/55

$$\frac { 34 } { 74 } \cdot \frac { 122 } { 55 } - \frac { 34 } { 74 } \cdot \frac { 48 } { 55 }$$

Evaluate

$$\frac{34}{55}\approx 0.618181818$$

Solution Steps

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

$$\frac{17}{37}\times \frac{122}{55}-\frac{34}{74}\times \frac{48}{55}$$

Multiply \frac{17}{37} times \frac{122}{55} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 122}{37\times 55}-\frac{34}{74}\times \frac{48}{55}$$

Do the multiplications in the fraction \frac{17\times 122}{37\times 55}.

$$\frac{2074}{2035}-\frac{34}{74}\times \frac{48}{55}$$

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

$$\frac{2074}{2035}-\frac{17}{37}\times \frac{48}{55}$$

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

$$\frac{2074}{2035}-\frac{17\times 48}{37\times 55}$$

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

$$\frac{2074}{2035}-\frac{816}{2035}$$

Since \frac{2074}{2035} and \frac{816}{2035} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2074-816}{2035}$$

Subtract 816 from 2074 to get 1258.

$$\frac{1258}{2035}$$

Reduce the fraction \frac{1258}{2035} to lowest terms by extracting and canceling out 37.

$$\frac{34}{55}$$

Factor

$$\frac{2 \cdot 17}{5 \cdot 11} = 0.6181818181818182$$