Solve 356.8-3/50*356.8

$$356.8 - \frac { 3 } { 50 } \times 356.8$$

Evaluate

$$335.392$$

Solution Steps

Convert decimal number 356.8 to fraction \frac{3568}{10}. Reduce the fraction \frac{3568}{10} to lowest terms by extracting and canceling out 2.

$$356.8-\frac{3}{50}\times \frac{1784}{5}$$

Multiply \frac{3}{50} times \frac{1784}{5} by multiplying numerator times numerator and denominator times denominator.

$$356.8-\frac{3\times 1784}{50\times 5}$$

Do the multiplications in the fraction \frac{3\times 1784}{50\times 5}.

$$356.8-\frac{5352}{250}$$

Reduce the fraction \frac{5352}{250} to lowest terms by extracting and canceling out 2.

$$356.8-\frac{2676}{125}$$

Convert decimal number 356.8 to fraction \frac{3568}{10}. Reduce the fraction \frac{3568}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1784}{5}-\frac{2676}{125}$$

Least common multiple of 5 and 125 is 125. Convert \frac{1784}{5} and \frac{2676}{125} to fractions with denominator 125.

$$\frac{44600}{125}-\frac{2676}{125}$$

Since \frac{44600}{125} and \frac{2676}{125} have the same denominator, subtract them by subtracting their numerators.

$$\frac{44600-2676}{125}$$

Subtract 2676 from 44600 to get 41924.

$$\frac{41924}{125}$$

Factor

$$\frac{47 \cdot 223 \cdot 2 ^ {2}}{5 ^ {3}} = 335\frac{49}{125} = 335.392$$