Solve 24*12+1/2*2.1*44

$$24 \times 12 + \frac { 1 } { 2 } \times 2.1 \times 44$$

Evaluate

$$334.2$$

Solution Steps

Multiply 24 and 12 to get 288.

$$288+\frac{1}{2}\times 2.1\times 44$$

Convert decimal number 2.1 to fraction \frac{21}{10}.

$$288+\frac{1}{2}\times \frac{21}{10}\times 44$$

Multiply \frac{1}{2} times \frac{21}{10} by multiplying numerator times numerator and denominator times denominator.

$$288+\frac{1\times 21}{2\times 10}\times 44$$

Do the multiplications in the fraction \frac{1\times 21}{2\times 10}.

$$288+\frac{21}{20}\times 44$$

Express \frac{21}{20}\times 44 as a single fraction.

$$288+\frac{21\times 44}{20}$$

Multiply 21 and 44 to get 924.

$$288+\frac{924}{20}$$

Reduce the fraction \frac{924}{20} to lowest terms by extracting and canceling out 4.

$$288+\frac{231}{5}$$

Convert 288 to fraction \frac{1440}{5}.

$$\frac{1440}{5}+\frac{231}{5}$$

Since \frac{1440}{5} and \frac{231}{5} have the same denominator, add them by adding their numerators.

$$\frac{1440+231}{5}$$

Add 1440 and 231 to get 1671.

$$\frac{1671}{5}$$

Factor

$$\frac{3 \cdot 557}{5} = 334\frac{1}{5} = 334.2$$