Solve 2div9+16div15^2+2.5=

$$2 \div 9+16 \div { 15 }^{ 2 } +2.5=$$

Evaluate

$$\frac{419}{150}\approx 2.793333333$$

Solution Steps

Calculate 15 to the power of 2 and get 225.

$$\frac{2}{9}+\frac{16}{225}+2.5$$

Least common multiple of 9 and 225 is 225. Convert \frac{2}{9} and \frac{16}{225} to fractions with denominator 225.

$$\frac{50}{225}+\frac{16}{225}+2.5$$

Since \frac{50}{225} and \frac{16}{225} have the same denominator, add them by adding their numerators.

$$\frac{50+16}{225}+2.5$$

Add 50 and 16 to get 66.

$$\frac{66}{225}+2.5$$

Reduce the fraction \frac{66}{225} to lowest terms by extracting and canceling out 3.

$$\frac{22}{75}+2.5$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{22}{75}+\frac{5}{2}$$

Least common multiple of 75 and 2 is 150. Convert \frac{22}{75} and \frac{5}{2} to fractions with denominator 150.

$$\frac{44}{150}+\frac{375}{150}$$

Since \frac{44}{150} and \frac{375}{150} have the same denominator, add them by adding their numerators.

$$\frac{44+375}{150}$$

Add 44 and 375 to get 419.

$$\frac{419}{150}$$

Factor

$$\frac{419}{2 \cdot 3 \cdot 5 ^ {2}} = 2\frac{119}{150} = 2.7933333333333334$$