Solve left(24/7-2.5right)div1/70

$$\left( 2 \frac{ 4 }{ 7 } -2.5 \right) \div \frac{ 1 }{ 70 }$$

Evaluate

$$5$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{\frac{14+4}{7}-2.5}{\frac{1}{70}}$$

Add 14 and 4 to get 18.

$$\frac{\frac{18}{7}-2.5}{\frac{1}{70}}$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{18}{7}-\frac{5}{2}}{\frac{1}{70}}$$

Least common multiple of 7 and 2 is 14. Convert \frac{18}{7} and \frac{5}{2} to fractions with denominator 14.

$$\frac{\frac{36}{14}-\frac{35}{14}}{\frac{1}{70}}$$

Since \frac{36}{14} and \frac{35}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{36-35}{14}}{\frac{1}{70}}$$

Subtract 35 from 36 to get 1.

$$\frac{\frac{1}{14}}{\frac{1}{70}}$$

Divide \frac{1}{14} by \frac{1}{70} by multiplying \frac{1}{14} by the reciprocal of \frac{1}{70}.

$$\frac{1}{14}\times 70$$

Multiply \frac{1}{14} and 70 to get \frac{70}{14}.

$$\frac{70}{14}$$

Divide 70 by 14 to get 5.

$$5$$

Factor

$$5$$