Solve 41/179*999/328+29/82

$$\frac{ 41 }{ 179 } \times \frac{ 999 }{ 328 } + \frac{ 29 }{ 82 }$$

Evaluate

$$\frac{61723}{58712}\approx 1.051284235$$

Solution Steps

Multiply \frac{41}{179} times \frac{999}{328} by multiplying numerator times numerator and denominator times denominator.

$$\frac{41\times 999}{179\times 328}+\frac{29}{82}$$

Do the multiplications in the fraction \frac{41\times 999}{179\times 328}.

$$\frac{40959}{58712}+\frac{29}{82}$$

Reduce the fraction \frac{40959}{58712} to lowest terms by extracting and canceling out 41.

$$\frac{999}{1432}+\frac{29}{82}$$

Least common multiple of 1432 and 82 is 58712. Convert \frac{999}{1432} and \frac{29}{82} to fractions with denominator 58712.

$$\frac{40959}{58712}+\frac{20764}{58712}$$

Since \frac{40959}{58712} and \frac{20764}{58712} have the same denominator, add them by adding their numerators.

$$\frac{40959+20764}{58712}$$

Add 40959 and 20764 to get 61723.

$$\frac{61723}{58712}$$

Factor

$$\frac{61723}{2 ^ {3} \cdot 41 \cdot 179} = 1\frac{3011}{58712} = 1.0512842349093883$$