Solve 258.06-(156div7*2.1)=

$$258.06-(156 \div 7 \times 2.1)=$$

Evaluate

$$211.26$$

Solution Steps

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

$$258.06-\frac{156}{7}\times \frac{21}{10}$$

Multiply \frac{156}{7} times \frac{21}{10} by multiplying numerator times numerator and denominator times denominator.

$$258.06-\frac{156\times 21}{7\times 10}$$

Do the multiplications in the fraction \frac{156\times 21}{7\times 10}.

$$258.06-\frac{3276}{70}$$

Reduce the fraction \frac{3276}{70} to lowest terms by extracting and canceling out 14.

$$258.06-\frac{234}{5}$$

Convert decimal number 258.06 to fraction \frac{25806}{100}. Reduce the fraction \frac{25806}{100} to lowest terms by extracting and canceling out 2.

$$\frac{12903}{50}-\frac{234}{5}$$

Least common multiple of 50 and 5 is 50. Convert \frac{12903}{50} and \frac{234}{5} to fractions with denominator 50.

$$\frac{12903}{50}-\frac{2340}{50}$$

Since \frac{12903}{50} and \frac{2340}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12903-2340}{50}$$

Subtract 2340 from 12903 to get 10563.

$$\frac{10563}{50}$$

Factor

$$\frac{3 \cdot 7 \cdot 503}{2 \cdot 5 ^ {2}} = 211\frac{13}{50} = 211.26$$