Solve 3760*2.1%*3/12

$$3760 \times 2.1 \% \times \frac{ 3 }{ 12 }$$

Evaluate

$$19.74$$

Solution Steps

Expand \frac{2.1}{100} by multiplying both numerator and the denominator by 10.

$$3760\times \frac{21}{1000}\times \frac{3}{12}$$

Express 3760\times \frac{21}{1000} as a single fraction.

$$\frac{3760\times 21}{1000}\times \frac{3}{12}$$

Multiply 3760 and 21 to get 78960.

$$\frac{78960}{1000}\times \frac{3}{12}$$

Reduce the fraction \frac{78960}{1000} to lowest terms by extracting and canceling out 40.

$$\frac{1974}{25}\times \frac{3}{12}$$

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$\frac{1974}{25}\times \frac{1}{4}$$

Multiply \frac{1974}{25} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1974\times 1}{25\times 4}$$

Do the multiplications in the fraction \frac{1974\times 1}{25\times 4}.

$$\frac{1974}{100}$$

Reduce the fraction \frac{1974}{100} to lowest terms by extracting and canceling out 2.

$$\frac{987}{50}$$

Factor

$$\frac{3 \cdot 7 \cdot 47}{2 \cdot 5 ^ {2}} = 19\frac{37}{50} = 19.74$$