Solve 43/26*15-594/65

$$\frac{ 43 }{ 26 } \times 15- \frac{ 594 }{ 65 }$$

Evaluate

$$\frac{2037}{130}\approx 15.669230769$$

Solution Steps

Express \frac{43}{26}\times 15 as a single fraction.

$$\frac{43\times 15}{26}-\frac{594}{65}$$

Multiply 43 and 15 to get 645.

$$\frac{645}{26}-\frac{594}{65}$$

Least common multiple of 26 and 65 is 130. Convert \frac{645}{26} and \frac{594}{65} to fractions with denominator 130.

$$\frac{3225}{130}-\frac{1188}{130}$$

Since \frac{3225}{130} and \frac{1188}{130} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3225-1188}{130}$$

Subtract 1188 from 3225 to get 2037.

$$\frac{2037}{130}$$

Factor

$$\frac{3 \cdot 7 \cdot 97}{2 \cdot 5 \cdot 13} = 15\frac{87}{130} = 15.669230769230769$$