Solve 180/7*18/7+59/100

$$\frac { 180 } { 7 } \times \frac { 18 } { 7 } + \frac { 59 } { 100 }$$

Evaluate

$$\frac{326891}{4900}\approx 66.71244898$$

Solution Steps

Multiply \frac{180}{7} times \frac{18}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{180\times 18}{7\times 7}+\frac{59}{100}$$

Do the multiplications in the fraction \frac{180\times 18}{7\times 7}.

$$\frac{3240}{49}+\frac{59}{100}$$

Least common multiple of 49 and 100 is 4900. Convert \frac{3240}{49} and \frac{59}{100} to fractions with denominator 4900.

$$\frac{324000}{4900}+\frac{2891}{4900}$$

Since \frac{324000}{4900} and \frac{2891}{4900} have the same denominator, add them by adding their numerators.

$$\frac{324000+2891}{4900}$$

Add 324000 and 2891 to get 326891.

$$\frac{326891}{4900}$$

Factor

$$\frac{109 \cdot 2999}{2 ^ {2} \cdot 5 ^ {2} \cdot 7 ^ {2}} = 66\frac{3491}{4900} = 66.71244897959184$$