Solve 1.9^2+4.36div0.5

$$1.9 ^ { 2 } + 4.36 \div 0.5$$

Evaluate

$$12.33$$

Solution Steps

Calculate 1.9 to the power of 2 and get 3.61.

$$3.61+\frac{4.36}{0.5}$$

Expand \frac{4.36}{0.5} by multiplying both numerator and the denominator by 100.

$$3.61+\frac{436}{50}$$

Reduce the fraction \frac{436}{50} to lowest terms by extracting and canceling out 2.

$$3.61+\frac{218}{25}$$

Convert decimal number 3.61 to fraction \frac{361}{100}.

$$\frac{361}{100}+\frac{218}{25}$$

Least common multiple of 100 and 25 is 100. Convert \frac{361}{100} and \frac{218}{25} to fractions with denominator 100.

$$\frac{361}{100}+\frac{872}{100}$$

Since \frac{361}{100} and \frac{872}{100} have the same denominator, add them by adding their numerators.

$$\frac{361+872}{100}$$

Add 361 and 872 to get 1233.

$$\frac{1233}{100}$$

Factor

$$\frac{137 \cdot 3 ^ {2}}{2 ^ {2} \cdot 5 ^ {2}} = 12\frac{33}{100} = 12.33$$