Solve 100/44left(left(35-32.5right)1/3+1right)

$$\frac{ 100 }{ 44 } \left( \frac{ \left( 35-32.5 \right) 1 }{ 3 } +1 \right)$$

Evaluate

$$\frac{25}{6}\approx 4.166666667$$

Solution Steps

Reduce the fraction \frac{100}{44} to lowest terms by extracting and canceling out 4.

$$\frac{25}{11}\left(\frac{\left(35-32.5\right)\times 1}{3}+1\right)$$

Subtract 32.5 from 35 to get 2.5.

$$\frac{25}{11}\left(\frac{2.5\times 1}{3}+1\right)$$

Multiply 2.5 and 1 to get 2.5.

$$\frac{25}{11}\left(\frac{2.5}{3}+1\right)$$

Expand \frac{2.5}{3} by multiplying both numerator and the denominator by 10.

$$\frac{25}{11}\left(\frac{25}{30}+1\right)$$

Reduce the fraction \frac{25}{30} to lowest terms by extracting and canceling out 5.

$$\frac{25}{11}\left(\frac{5}{6}+1\right)$$

Convert 1 to fraction \frac{6}{6}.

$$\frac{25}{11}\left(\frac{5}{6}+\frac{6}{6}\right)$$

Since \frac{5}{6} and \frac{6}{6} have the same denominator, add them by adding their numerators.

$$\frac{25}{11}\times \frac{5+6}{6}$$

Add 5 and 6 to get 11.

$$\frac{25}{11}\times \frac{11}{6}$$

Multiply \frac{25}{11} times \frac{11}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 11}{11\times 6}$$

Cancel out 11 in both numerator and denominator.

$$\frac{25}{6}$$

Factor

$$\frac{5 ^ {2}}{2 \cdot 3} = 4\frac{1}{6} = 4.166666666666667$$