Solve 126*(1-5/14-4/9)*5

$$126 \times ( 1 - \frac { 5 } { 14 } - \frac { 4 } { 9 } ) \times 5$$

Evaluate

$$125$$

Solution Steps

Convert 1 to fraction \frac{14}{14}.

$$126\left(\frac{14}{14}-\frac{5}{14}-\frac{4}{9}\right)\times 5$$

Since \frac{14}{14} and \frac{5}{14} have the same denominator, subtract them by subtracting their numerators.

$$126\left(\frac{14-5}{14}-\frac{4}{9}\right)\times 5$$

Subtract 5 from 14 to get 9.

$$126\left(\frac{9}{14}-\frac{4}{9}\right)\times 5$$

Least common multiple of 14 and 9 is 126. Convert \frac{9}{14} and \frac{4}{9} to fractions with denominator 126.

$$126\left(\frac{81}{126}-\frac{56}{126}\right)\times 5$$

Since \frac{81}{126} and \frac{56}{126} have the same denominator, subtract them by subtracting their numerators.

$$126\times \frac{81-56}{126}\times 5$$

Subtract 56 from 81 to get 25.

$$126\times \frac{25}{126}\times 5$$

Cancel out 126 and 126.

$$25\times 5$$

Multiply 25 and 5 to get 125.

$$125$$

Factor

$$5^{3}$$