Solve 24/7-19/10=

$$2 \frac { 4 } { 7 } - 1 \frac { 9 } { 10 } =$$

Evaluate

$$\frac{47}{70}\approx 0.671428571$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{14+4}{7}-\frac{1\times 10+9}{10}$$

Add 14 and 4 to get 18.

$$\frac{18}{7}-\frac{1\times 10+9}{10}$$

Multiply 1 and 10 to get 10.

$$\frac{18}{7}-\frac{10+9}{10}$$

Add 10 and 9 to get 19.

$$\frac{18}{7}-\frac{19}{10}$$

Least common multiple of 7 and 10 is 70. Convert \frac{18}{7} and \frac{19}{10} to fractions with denominator 70.

$$\frac{180}{70}-\frac{133}{70}$$

Since \frac{180}{70} and \frac{133}{70} have the same denominator, subtract them by subtracting their numerators.

$$\frac{180-133}{70}$$

Subtract 133 from 180 to get 47.

$$\frac{47}{70}$$

Factor

$$\frac{47}{2 \cdot 5 \cdot 7} = 0.6714285714285714$$