Solve 25/8-13/7*5/23

$$2 \frac { 5 } { 8 } - \frac { 13 } { 7 } \times \frac { 5 } { 23 }$$

Evaluate

$$\frac{2861}{1288}\approx 2.221273292$$

Solution Steps

Multiply 2 and 8 to get 16.

$$\frac{16+5}{8}-\frac{13}{7}\times \frac{5}{23}$$

Add 16 and 5 to get 21.

$$\frac{21}{8}-\frac{13}{7}\times \frac{5}{23}$$

Multiply \frac{13}{7} times \frac{5}{23} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21}{8}-\frac{13\times 5}{7\times 23}$$

Do the multiplications in the fraction \frac{13\times 5}{7\times 23}.

$$\frac{21}{8}-\frac{65}{161}$$

Least common multiple of 8 and 161 is 1288. Convert \frac{21}{8} and \frac{65}{161} to fractions with denominator 1288.

$$\frac{3381}{1288}-\frac{520}{1288}$$

Since \frac{3381}{1288} and \frac{520}{1288} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3381-520}{1288}$$

Subtract 520 from 3381 to get 2861.

$$\frac{2861}{1288}$$

Factor

$$\frac{2861}{2 ^ {3} \cdot 7 \cdot 23} = 2\frac{285}{1288} = 2.2212732919254656$$