Solve 25/7-7/10*14

$$2 \frac { 5 } { 7 } - \frac { 7 } { 10 } \times 14$$

Evaluate

$$-\frac{248}{35}\approx -7.085714286$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{14+5}{7}-\frac{7}{10}\times 14$$

Add 14 and 5 to get 19.

$$\frac{19}{7}-\frac{7}{10}\times 14$$

Express \frac{7}{10}\times 14 as a single fraction.

$$\frac{19}{7}-\frac{7\times 14}{10}$$

Multiply 7 and 14 to get 98.

$$\frac{19}{7}-\frac{98}{10}$$

Reduce the fraction \frac{98}{10} to lowest terms by extracting and canceling out 2.

$$\frac{19}{7}-\frac{49}{5}$$

Least common multiple of 7 and 5 is 35. Convert \frac{19}{7} and \frac{49}{5} to fractions with denominator 35.

$$\frac{95}{35}-\frac{343}{35}$$

Since \frac{95}{35} and \frac{343}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{95-343}{35}$$

Subtract 343 from 95 to get -248.

$$-\frac{248}{35}$$

Factor

$$-\frac{248}{35} = -7\frac{3}{35} = -7.085714285714285$$