Solve 7.50+18.50div205

$$7.50+18.50 \div 205$$

Evaluate

$$\frac{1556}{205}\approx 7.590243902$$

Solution Steps

Expand \frac{18.5}{205} by multiplying both numerator and the denominator by 10.

$$7.5+\frac{185}{2050}$$

Reduce the fraction \frac{185}{2050} to lowest terms by extracting and canceling out 5.

$$7.5+\frac{37}{410}$$

Convert decimal number 7.5 to fraction \frac{75}{10}. Reduce the fraction \frac{75}{10} to lowest terms by extracting and canceling out 5.

$$\frac{15}{2}+\frac{37}{410}$$

Least common multiple of 2 and 410 is 410. Convert \frac{15}{2} and \frac{37}{410} to fractions with denominator 410.

$$\frac{3075}{410}+\frac{37}{410}$$

Since \frac{3075}{410} and \frac{37}{410} have the same denominator, add them by adding their numerators.

$$\frac{3075+37}{410}$$

Add 3075 and 37 to get 3112.

$$\frac{3112}{410}$$

Reduce the fraction \frac{3112}{410} to lowest terms by extracting and canceling out 2.

$$\frac{1556}{205}$$

Factor

$$\frac{389 \cdot 2 ^ {2}}{5 \cdot 41} = 7\frac{121}{205} = 7.590243902439024$$