Solve (-22/1429/2(14))-(37/2(14)-18/14)

$$(- \frac{ 22 }{ 14 } \frac{ 29 }{ 2(14) } )-( \frac{ 37 }{ 2(14) } \frac{ -18 }{ 14 } )$$

Evaluate

$$\frac{1}{14}\approx 0.071428571$$

Solution Steps

Reduce the fraction \frac{22}{14} to lowest terms by extracting and canceling out 2.

$$-\frac{11}{7}\times \frac{29}{2\times 14}-\frac{37}{2\times 14}\times \frac{-18}{14}$$

Multiply 2 and 14 to get 28.

$$-\frac{11}{7}\times \frac{29}{28}-\frac{37}{2\times 14}\times \frac{-18}{14}$$

Multiply -\frac{11}{7} times \frac{29}{28} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-11\times 29}{7\times 28}-\frac{37}{2\times 14}\times \frac{-18}{14}$$

Do the multiplications in the fraction \frac{-11\times 29}{7\times 28}.

$$\frac{-319}{196}-\frac{37}{2\times 14}\times \frac{-18}{14}$$

Fraction \frac{-319}{196} can be rewritten as -\frac{319}{196} by extracting the negative sign.

$$-\frac{319}{196}-\frac{37}{2\times 14}\times \frac{-18}{14}$$

Multiply 2 and 14 to get 28.

$$-\frac{319}{196}-\frac{37}{28}\times \frac{-18}{14}$$

Reduce the fraction \frac{-18}{14} to lowest terms by extracting and canceling out 2.

$$-\frac{319}{196}-\frac{37}{28}\left(-\frac{9}{7}\right)$$

Multiply \frac{37}{28} times -\frac{9}{7} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{319}{196}-\frac{37\left(-9\right)}{28\times 7}$$

Do the multiplications in the fraction \frac{37\left(-9\right)}{28\times 7}.

$$-\frac{319}{196}-\frac{-333}{196}$$

Fraction \frac{-333}{196} can be rewritten as -\frac{333}{196} by extracting the negative sign.

$$-\frac{319}{196}-\left(-\frac{333}{196}\right)$$

The opposite of -\frac{333}{196} is \frac{333}{196}.

$$-\frac{319}{196}+\frac{333}{196}$$

Since -\frac{319}{196} and \frac{333}{196} have the same denominator, add them by adding their numerators.

$$\frac{-319+333}{196}$$

Add -319 and 333 to get 14.

$$\frac{14}{196}$$

Reduce the fraction \frac{14}{196} to lowest terms by extracting and canceling out 14.

$$\frac{1}{14}$$

Factor

$$\frac{1}{2 \cdot 7} = 0.07142857142857142$$