Solve 6.98-0.16/1508-14/3*60

$$\frac { 6.98 - 0.16 } { 1508 - 14 / 3 } \times 60$$

Evaluate

$$\frac{279}{1025}\approx 0.272195122$$

Solution Steps

Subtract 0.16 from 6.98 to get 6.82.

$$\frac{6.82}{1508-\frac{14}{3}}\times 60$$

Convert 1508 to fraction \frac{4524}{3}.

$$\frac{6.82}{\frac{4524}{3}-\frac{14}{3}}\times 60$$

Since \frac{4524}{3} and \frac{14}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6.82}{\frac{4524-14}{3}}\times 60$$

Subtract 14 from 4524 to get 4510.

$$\frac{6.82}{\frac{4510}{3}}\times 60$$

Divide 6.82 by \frac{4510}{3} by multiplying 6.82 by the reciprocal of \frac{4510}{3}.

$$6.82\times \frac{3}{4510}\times 60$$

Convert decimal number 6.82 to fraction \frac{682}{100}. Reduce the fraction \frac{682}{100} to lowest terms by extracting and canceling out 2.

$$\frac{341}{50}\times \frac{3}{4510}\times 60$$

Multiply \frac{341}{50} times \frac{3}{4510} by multiplying numerator times numerator and denominator times denominator.

$$\frac{341\times 3}{50\times 4510}\times 60$$

Do the multiplications in the fraction \frac{341\times 3}{50\times 4510}.

$$\frac{1023}{225500}\times 60$$

Reduce the fraction \frac{1023}{225500} to lowest terms by extracting and canceling out 11.

$$\frac{93}{20500}\times 60$$

Express \frac{93}{20500}\times 60 as a single fraction.

$$\frac{93\times 60}{20500}$$

Multiply 93 and 60 to get 5580.

$$\frac{5580}{20500}$$

Reduce the fraction \frac{5580}{20500} to lowest terms by extracting and canceling out 20.

$$\frac{279}{1025}$$

Factor

$$\frac{31 \cdot 3 ^ {2}}{41 \cdot 5 ^ {2}} = 0.27219512195121953$$