Solve 4*0.1*3-{left(frac{4/5right)}^2}{4*0.1}

$$\frac{ 4 \times 0.1 \times 3- { \left( \frac{ 4 }{ 5 } \right) }^{ 2 } }{ 4 \times 0.1 }$$

Evaluate

$$1.4$$

Solution Steps

Multiply 4 and 0.1 to get 0.4.

$$\frac{0.4\times 3-\left(\frac{4}{5}\right)^{2}}{4\times 0.1}$$

Multiply 0.4 and 3 to get 1.2.

$$\frac{1.2-\left(\frac{4}{5}\right)^{2}}{4\times 0.1}$$

Calculate \frac{4}{5} to the power of 2 and get \frac{16}{25}.

$$\frac{1.2-\frac{16}{25}}{4\times 0.1}$$

Convert decimal number 1.2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{6}{5}-\frac{16}{25}}{4\times 0.1}$$

Least common multiple of 5 and 25 is 25. Convert \frac{6}{5} and \frac{16}{25} to fractions with denominator 25.

$$\frac{\frac{30}{25}-\frac{16}{25}}{4\times 0.1}$$

Since \frac{30}{25} and \frac{16}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{30-16}{25}}{4\times 0.1}$$

Subtract 16 from 30 to get 14.

$$\frac{\frac{14}{25}}{4\times 0.1}$$

Multiply 4 and 0.1 to get 0.4.

$$\frac{\frac{14}{25}}{0.4}$$

Express \frac{\frac{14}{25}}{0.4} as a single fraction.

$$\frac{14}{25\times 0.4}$$

Multiply 25 and 0.4 to get 10.

$$\frac{14}{10}$$

Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{7}{5}$$

Factor

$$\frac{7}{5} = 1\frac{2}{5} = 1.4$$