Solve 72/73*34/65+72/73*39/65

$$\frac{ 72 }{ 73 } \times \frac{ 34 }{ 65 } + \frac{ 72 }{ 73 } \times \frac{ 39 }{ 65 }$$

Evaluate

$$\frac{72}{65}\approx 1.107692308$$

Solution Steps

Multiply \frac{72}{73} times \frac{34}{65} by multiplying numerator times numerator and denominator times denominator.

$$\frac{72\times 34}{73\times 65}+\frac{72}{73}\times \frac{39}{65}$$

Do the multiplications in the fraction \frac{72\times 34}{73\times 65}.

$$\frac{2448}{4745}+\frac{72}{73}\times \frac{39}{65}$$

Reduce the fraction \frac{39}{65} to lowest terms by extracting and canceling out 13.

$$\frac{2448}{4745}+\frac{72}{73}\times \frac{3}{5}$$

Multiply \frac{72}{73} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2448}{4745}+\frac{72\times 3}{73\times 5}$$

Do the multiplications in the fraction \frac{72\times 3}{73\times 5}.

$$\frac{2448}{4745}+\frac{216}{365}$$

Least common multiple of 4745 and 365 is 4745. Convert \frac{2448}{4745} and \frac{216}{365} to fractions with denominator 4745.

$$\frac{2448}{4745}+\frac{2808}{4745}$$

Since \frac{2448}{4745} and \frac{2808}{4745} have the same denominator, add them by adding their numerators.

$$\frac{2448+2808}{4745}$$

Add 2448 and 2808 to get 5256.

$$\frac{5256}{4745}$$

Reduce the fraction \frac{5256}{4745} to lowest terms by extracting and canceling out 73.

$$\frac{72}{65}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {2}}{5 \cdot 13} = 1\frac{7}{65} = 1.1076923076923078$$