Solve 19/13*7/5-6/13*5/7

$$\frac{ 19 }{ 13 } \times \frac{ 7 }{ 5 } - \frac{ 6 }{ 13 } \times \frac{ 5 }{ 7 }$$

Evaluate

$$\frac{781}{455}\approx 1.716483516$$

Solution Steps

Multiply \frac{19}{13} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{19\times 7}{13\times 5}-\frac{6}{13}\times \frac{5}{7}$$

Do the multiplications in the fraction \frac{19\times 7}{13\times 5}.

$$\frac{133}{65}-\frac{6}{13}\times \frac{5}{7}$$

Multiply \frac{6}{13} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{133}{65}-\frac{6\times 5}{13\times 7}$$

Do the multiplications in the fraction \frac{6\times 5}{13\times 7}.

$$\frac{133}{65}-\frac{30}{91}$$

Least common multiple of 65 and 91 is 455. Convert \frac{133}{65} and \frac{30}{91} to fractions with denominator 455.

$$\frac{931}{455}-\frac{150}{455}$$

Since \frac{931}{455} and \frac{150}{455} have the same denominator, subtract them by subtracting their numerators.

$$\frac{931-150}{455}$$

Subtract 150 from 931 to get 781.

$$\frac{781}{455}$$

Factor

$$\frac{11 \cdot 71}{5 \cdot 7 \cdot 13} = 1\frac{326}{455} = 1.7164835164835164$$