Solve 4+1/5xsqrt{2,25}:0,3+0,01

$$4 + 1 / 5 x \sqrt { 2,25 } : 0,3 + 0,01$$

Evaluate

$$x+4,01$$

Solution Steps

Calculate the square root of 2,25 and get 1,5.

$$4+\frac{\frac{1}{5}x\times 1,5}{0,3}+0,01$$

Convert decimal number 1,5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$4+\frac{\frac{1}{5}x\times \frac{3}{2}}{0,3}+0,01$$

Multiply \frac{1}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$4+\frac{\frac{1\times 3}{5\times 2}x}{0,3}+0,01$$

Do the multiplications in the fraction \frac{1\times 3}{5\times 2}.

$$4+\frac{\frac{3}{10}x}{0,3}+0,01$$

Cancel out 0,3 and 0,3.

$$4+x+0,01$$

Add 4 and 0,01 to get 4,01.

$$4,01+x$$

Factor

$$\frac{100x+401}{100}$$