Solve 3.75-(frac{sqrt{4}}{50})

$$3.75-( \frac{ \sqrt{ 4 } }{ 50 } )$$

Evaluate

$$3.71$$

Solution Steps

Calculate the square root of 4 and get 2.

$$3.75-\frac{2}{50}$$

Reduce the fraction \frac{2}{50} to lowest terms by extracting and canceling out 2.

$$3.75-\frac{1}{25}$$

Convert decimal number 3.75 to fraction \frac{375}{100}. Reduce the fraction \frac{375}{100} to lowest terms by extracting and canceling out 25.

$$\frac{15}{4}-\frac{1}{25}$$

Least common multiple of 4 and 25 is 100. Convert \frac{15}{4} and \frac{1}{25} to fractions with denominator 100.

$$\frac{375}{100}-\frac{4}{100}$$

Since \frac{375}{100} and \frac{4}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{375-4}{100}$$

Subtract 4 from 375 to get 371.

$$\frac{371}{100}$$

Factor

$$\frac{7 \cdot 53}{2 ^ {2} \cdot 5 ^ {2}} = 3\frac{71}{100} = 3.71$$