Solve 1200-1.64*100000/sqrt{49}=

$$1200-1.64 \times \frac{ 100000 }{ \sqrt{ 49 } } =$$

Evaluate

$$-\frac{155600}{7}\approx -22228.571428571$$

Solution Steps

Calculate the square root of 49 and get 7.

$$1200-1.64\times \frac{100000}{7}$$

Convert decimal number 1.64 to fraction \frac{164}{100}. Reduce the fraction \frac{164}{100} to lowest terms by extracting and canceling out 4.

$$1200-\frac{41}{25}\times \frac{100000}{7}$$

Multiply \frac{41}{25} times \frac{100000}{7} by multiplying numerator times numerator and denominator times denominator.

$$1200-\frac{41\times 100000}{25\times 7}$$

Do the multiplications in the fraction \frac{41\times 100000}{25\times 7}.

$$1200-\frac{4100000}{175}$$

Reduce the fraction \frac{4100000}{175} to lowest terms by extracting and canceling out 25.

$$1200-\frac{164000}{7}$$

Convert 1200 to fraction \frac{8400}{7}.

$$\frac{8400}{7}-\frac{164000}{7}$$

Since \frac{8400}{7} and \frac{164000}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8400-164000}{7}$$

Subtract 164000 from 8400 to get -155600.

$$-\frac{155600}{7}$$

Factor

$$-\frac{155600}{7} = -22228\frac{4}{7} = -22228.571428571428$$