Solve (-1.4)^2+3/5/3/5*3

$$\frac { ( - 1.4 ) ^ { 2 } + 3 / 5 } { 3 / 5 \cdot 3 }$$

Evaluate

$$\frac{64}{45}\approx 1.422222222$$

Solution Steps

Calculate -1.4 to the power of 2 and get 1.96.

$$\frac{1.96+\frac{3}{5}}{\frac{3}{5}\times 3}$$

Convert decimal number 1.96 to fraction \frac{196}{100}. Reduce the fraction \frac{196}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{49}{25}+\frac{3}{5}}{\frac{3}{5}\times 3}$$

Least common multiple of 25 and 5 is 25. Convert \frac{49}{25} and \frac{3}{5} to fractions with denominator 25.

$$\frac{\frac{49}{25}+\frac{15}{25}}{\frac{3}{5}\times 3}$$

Since \frac{49}{25} and \frac{15}{25} have the same denominator, add them by adding their numerators.

$$\frac{\frac{49+15}{25}}{\frac{3}{5}\times 3}$$

Add 49 and 15 to get 64.

$$\frac{\frac{64}{25}}{\frac{3}{5}\times 3}$$

Express \frac{3}{5}\times 3 as a single fraction.

$$\frac{\frac{64}{25}}{\frac{3\times 3}{5}}$$

Multiply 3 and 3 to get 9.

$$\frac{\frac{64}{25}}{\frac{9}{5}}$$

Divide \frac{64}{25} by \frac{9}{5} by multiplying \frac{64}{25} by the reciprocal of \frac{9}{5}.

$$\frac{64}{25}\times \frac{5}{9}$$

Multiply \frac{64}{25} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{64\times 5}{25\times 9}$$

Do the multiplications in the fraction \frac{64\times 5}{25\times 9}.

$$\frac{320}{225}$$

Reduce the fraction \frac{320}{225} to lowest terms by extracting and canceling out 5.

$$\frac{64}{45}$$

Factor

$$\frac{2 ^ {6}}{5 \cdot 3 ^ {2}} = 1\frac{19}{45} = 1.4222222222222223$$