Solve 5/8*4,4-(0,2)^2=

$$\frac { 5 } { 8 } \cdot 4,4 - ( 0,2 ) ^ { 2 } =$$

Evaluate

$$2,71$$

Solution Steps

Convert decimal number 4,4 to fraction \frac{44}{10}. Reduce the fraction \frac{44}{10} to lowest terms by extracting and canceling out 2.

$$\frac{5}{8}\times \frac{22}{5}-0,2^{2}$$

Multiply \frac{5}{8} times \frac{22}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 22}{8\times 5}-0,2^{2}$$

Cancel out 5 in both numerator and denominator.

$$\frac{22}{8}-0,2^{2}$$

Reduce the fraction \frac{22}{8} to lowest terms by extracting and canceling out 2.

$$\frac{11}{4}-0,2^{2}$$

Calculate 0,2 to the power of 2 and get 0,04.

$$\frac{11}{4}-0,04$$

Convert decimal number 0,04 to fraction \frac{4}{100}. Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$\frac{11}{4}-\frac{1}{25}$$

Least common multiple of 4 and 25 is 100. Convert \frac{11}{4} and \frac{1}{25} to fractions with denominator 100.

$$\frac{275}{100}-\frac{4}{100}$$

Since \frac{275}{100} and \frac{4}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{275-4}{100}$$

Subtract 4 from 275 to get 271.

$$\frac{271}{100}$$

Factor

$$\frac{271}{2 ^ {2} \cdot 5 ^ {2}} = 2\frac{71}{100} = 2.71$$