Solve 196000+244.29/31.6759000/1+frac{244.29{31.67}}

$$\frac{ 196000+ \frac{ 244.29 }{ 31.67 } 59000 }{ 1+ \frac{ 244.29 }{ 31.67 } }$$

Evaluate

$$\frac{515510750}{6899}\approx 74722.532251051$$

Solution Steps

Expand \frac{244.29}{31.67} by multiplying both numerator and the denominator by 100.

$$\frac{196000+\frac{24429}{3167}\times 59000}{1+\frac{244.29}{31.67}}$$

Express \frac{24429}{3167}\times 59000 as a single fraction.

$$\frac{196000+\frac{24429\times 59000}{3167}}{1+\frac{244.29}{31.67}}$$

Multiply 24429 and 59000 to get 1441311000.

$$\frac{196000+\frac{1441311000}{3167}}{1+\frac{244.29}{31.67}}$$

Convert 196000 to fraction \frac{620732000}{3167}.

$$\frac{\frac{620732000}{3167}+\frac{1441311000}{3167}}{1+\frac{244.29}{31.67}}$$

Since \frac{620732000}{3167} and \frac{1441311000}{3167} have the same denominator, add them by adding their numerators.

$$\frac{\frac{620732000+1441311000}{3167}}{1+\frac{244.29}{31.67}}$$

Add 620732000 and 1441311000 to get 2062043000.

$$\frac{\frac{2062043000}{3167}}{1+\frac{244.29}{31.67}}$$

Expand \frac{244.29}{31.67} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{2062043000}{3167}}{1+\frac{24429}{3167}}$$

Convert 1 to fraction \frac{3167}{3167}.

$$\frac{\frac{2062043000}{3167}}{\frac{3167}{3167}+\frac{24429}{3167}}$$

Since \frac{3167}{3167} and \frac{24429}{3167} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2062043000}{3167}}{\frac{3167+24429}{3167}}$$

Add 3167 and 24429 to get 27596.

$$\frac{\frac{2062043000}{3167}}{\frac{27596}{3167}}$$

Divide \frac{2062043000}{3167} by \frac{27596}{3167} by multiplying \frac{2062043000}{3167} by the reciprocal of \frac{27596}{3167}.

$$\frac{2062043000}{3167}\times \frac{3167}{27596}$$

Multiply \frac{2062043000}{3167} times \frac{3167}{27596} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2062043000\times 3167}{3167\times 27596}$$

Cancel out 3167 in both numerator and denominator.

$$\frac{2062043000}{27596}$$

Reduce the fraction \frac{2062043000}{27596} to lowest terms by extracting and canceling out 4.

$$\frac{515510750}{6899}$$

Factor

$$\frac{2 \cdot 2062043 \cdot 5 ^ {3}}{6899} = 74722\frac{3672}{6899} = 74722.53225105087$$