Solve 7000(1+10/100*125/360)=

$$7000(1+ \frac{ 10 }{ 100 } \times \frac{ 125 }{ 360 } )=$$

Evaluate

$$\frac{130375}{18}\approx 7243.055555556$$

Solution Steps

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$7000\left(1+\frac{1}{10}\times \frac{125}{360}\right)$$

Reduce the fraction \frac{125}{360} to lowest terms by extracting and canceling out 5.

$$7000\left(1+\frac{1}{10}\times \frac{25}{72}\right)$$

Multiply \frac{1}{10} times \frac{25}{72} by multiplying numerator times numerator and denominator times denominator.

$$7000\left(1+\frac{1\times 25}{10\times 72}\right)$$

Do the multiplications in the fraction \frac{1\times 25}{10\times 72}.

$$7000\left(1+\frac{25}{720}\right)$$

Reduce the fraction \frac{25}{720} to lowest terms by extracting and canceling out 5.

$$7000\left(1+\frac{5}{144}\right)$$

Convert 1 to fraction \frac{144}{144}.

$$7000\left(\frac{144}{144}+\frac{5}{144}\right)$$

Since \frac{144}{144} and \frac{5}{144} have the same denominator, add them by adding their numerators.

$$7000\times \frac{144+5}{144}$$

Add 144 and 5 to get 149.

$$7000\times \frac{149}{144}$$

Express 7000\times \frac{149}{144} as a single fraction.

$$\frac{7000\times 149}{144}$$

Multiply 7000 and 149 to get 1043000.

$$\frac{1043000}{144}$$

Reduce the fraction \frac{1043000}{144} to lowest terms by extracting and canceling out 8.

$$\frac{130375}{18}$$

Factor

$$\frac{5 ^ {3} \cdot 7 \cdot 149}{2 \cdot 3 ^ {2}} = 7243\frac{1}{18} = 7243.055555555556$$