Solve 1/3(28.26)11

$$\frac{ 1 }{ 3 } (28.26)11$$

Evaluate

$$103.62$$

Solution Steps

Convert decimal number 28.26 to fraction \frac{2826}{100}. Reduce the fraction \frac{2826}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}\times \frac{1413}{50}\times 11$$

Multiply \frac{1}{3} times \frac{1413}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1413}{3\times 50}\times 11$$

Do the multiplications in the fraction \frac{1\times 1413}{3\times 50}.

$$\frac{1413}{150}\times 11$$

Reduce the fraction \frac{1413}{150} to lowest terms by extracting and canceling out 3.

$$\frac{471}{50}\times 11$$

Express \frac{471}{50}\times 11 as a single fraction.

$$\frac{471\times 11}{50}$$

Multiply 471 and 11 to get 5181.

$$\frac{5181}{50}$$

Factor

$$\frac{3 \cdot 11 \cdot 157}{2 \cdot 5 ^ {2}} = 103\frac{31}{50} = 103.62$$