Solve 295.54/1+(.04*frac{7{2})}

$$\frac{ 295.54 }{ 1+(.04 \times \frac{ 7 }{ 2 } ) }$$

Evaluate

$$\frac{14777}{57}\approx 259.245614035$$

Solution Steps

Convert decimal number 0.04 to fraction \frac{4}{100}. Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$\frac{295.54}{1+\frac{1}{25}\times \frac{7}{2}}$$

Multiply \frac{1}{25} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{295.54}{1+\frac{1\times 7}{25\times 2}}$$

Do the multiplications in the fraction \frac{1\times 7}{25\times 2}.

$$\frac{295.54}{1+\frac{7}{50}}$$

Convert 1 to fraction \frac{50}{50}.

$$\frac{295.54}{\frac{50}{50}+\frac{7}{50}}$$

Since \frac{50}{50} and \frac{7}{50} have the same denominator, add them by adding their numerators.

$$\frac{295.54}{\frac{50+7}{50}}$$

Add 50 and 7 to get 57.

$$\frac{295.54}{\frac{57}{50}}$$

Divide 295.54 by \frac{57}{50} by multiplying 295.54 by the reciprocal of \frac{57}{50}.

$$295.54\times \frac{50}{57}$$

Convert decimal number 295.54 to fraction \frac{29554}{100}. Reduce the fraction \frac{29554}{100} to lowest terms by extracting and canceling out 2.

$$\frac{14777}{50}\times \frac{50}{57}$$

Multiply \frac{14777}{50} times \frac{50}{57} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14777\times 50}{50\times 57}$$

Cancel out 50 in both numerator and denominator.

$$\frac{14777}{57}$$

Factor

$$\frac{7 \cdot 2111}{3 \cdot 19} = 259\frac{14}{57} = 259.2456140350877$$