Solve 10+((10000/230-10)*30/100)+5=

$$10 + ( ( \frac { 10000 } { 230 } - 10 ) \times \frac { 30 } { 100 } ) + 5 =$$

Evaluate

$$\frac{576}{23}\approx 25.043478261$$

Solution Steps

Reduce the fraction \frac{10000}{230} to lowest terms by extracting and canceling out 10.

$$10+\left(\frac{1000}{23}-10\right)\times \frac{30}{100}+5$$

Convert 10 to fraction \frac{230}{23}.

$$10+\left(\frac{1000}{23}-\frac{230}{23}\right)\times \frac{30}{100}+5$$

Since \frac{1000}{23} and \frac{230}{23} have the same denominator, subtract them by subtracting their numerators.

$$10+\frac{1000-230}{23}\times \frac{30}{100}+5$$

Subtract 230 from 1000 to get 770.

$$10+\frac{770}{23}\times \frac{30}{100}+5$$

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$10+\frac{770}{23}\times \frac{3}{10}+5$$

Multiply \frac{770}{23} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$10+\frac{770\times 3}{23\times 10}+5$$

Do the multiplications in the fraction \frac{770\times 3}{23\times 10}.

$$10+\frac{2310}{230}+5$$

Reduce the fraction \frac{2310}{230} to lowest terms by extracting and canceling out 10.

$$10+\frac{231}{23}+5$$

Convert 10 to fraction \frac{230}{23}.

$$\frac{230}{23}+\frac{231}{23}+5$$

Since \frac{230}{23} and \frac{231}{23} have the same denominator, add them by adding their numerators.

$$\frac{230+231}{23}+5$$

Add 230 and 231 to get 461.

$$\frac{461}{23}+5$$

Convert 5 to fraction \frac{115}{23}.

$$\frac{461}{23}+\frac{115}{23}$$

Since \frac{461}{23} and \frac{115}{23} have the same denominator, add them by adding their numerators.

$$\frac{461+115}{23}$$

Add 461 and 115 to get 576.

$$\frac{576}{23}$$

Factor

$$\frac{2 ^ {6} \cdot 3 ^ {2}}{23} = 25\frac{1}{23} = 25.043478260869566$$