Solve 4.3-0.2*4.9div2

$$4.3 - 0.2 \times 4.9 \div 2$$

Evaluate

$$3.81$$

Solution Steps

Multiply 0.2 and 4.9 to get 0.98.

$$4.3-\frac{0.98}{2}$$

Expand \frac{0.98}{2} by multiplying both numerator and the denominator by 100.

$$4.3-\frac{98}{200}$$

Reduce the fraction \frac{98}{200} to lowest terms by extracting and canceling out 2.

$$4.3-\frac{49}{100}$$

Convert decimal number 4.3 to fraction \frac{43}{10}.

$$\frac{43}{10}-\frac{49}{100}$$

Least common multiple of 10 and 100 is 100. Convert \frac{43}{10} and \frac{49}{100} to fractions with denominator 100.

$$\frac{430}{100}-\frac{49}{100}$$

Since \frac{430}{100} and \frac{49}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{430-49}{100}$$

Subtract 49 from 430 to get 381.

$$\frac{381}{100}$$

Factor

$$\frac{3 \cdot 127}{2 ^ {2} \cdot 5 ^ {2}} = 3\frac{81}{100} = 3.81$$