Solve 1-7/9/14/45

$$1 - \frac { 7 } { 9 } / \frac { 14 } { 45 }$$

Evaluate

$$-\frac{3}{2}=-1.5$$

Solution Steps

Divide \frac{7}{9} by \frac{14}{45} by multiplying \frac{7}{9} by the reciprocal of \frac{14}{45}.

$$1-\frac{7}{9}\times \frac{45}{14}$$

Multiply \frac{7}{9} times \frac{45}{14} by multiplying numerator times numerator and denominator times denominator.

$$1-\frac{7\times 45}{9\times 14}$$

Do the multiplications in the fraction \frac{7\times 45}{9\times 14}.

$$1-\frac{315}{126}$$

Reduce the fraction \frac{315}{126} to lowest terms by extracting and canceling out 63.

$$1-\frac{5}{2}$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{2}{2}-\frac{5}{2}$$

Since \frac{2}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-5}{2}$$

Subtract 5 from 2 to get -3.

$$-\frac{3}{2}$$

Factor

$$-\frac{3}{2} = -1\frac{1}{2} = -1.5$$