Solve 2.3*2.3-0.3*0.3div2.3*2.3-2*2.3*03.+0.3*0.3

$$2.3 \times 2.3-0.3 \times 0.3 \div 2.3 \times 2.3-2 \times 2.3 \times 03.+0.3 \times 0.3$$

Evaluate

$$5.2$$

Solution Steps

Multiply 2.3 and 2.3 to get 5.29.

$$5.29-\frac{0.3\times 0.3}{2.3}\times 2.3-2\times 2.3\times 0\times 3$$

Multiply 0.3 and 0.3 to get 0.09.

$$5.29-\frac{0.09}{2.3}\times 2.3-2\times 2.3\times 0\times 3$$

Expand \frac{0.09}{2.3} by multiplying both numerator and the denominator by 100.

$$5.29-\frac{9}{230}\times 2.3-2\times 2.3\times 0\times 3$$

Convert decimal number 2.3 to fraction \frac{23}{10}.

$$5.29-\frac{9}{230}\times \frac{23}{10}-2\times 2.3\times 0\times 3$$

Multiply \frac{9}{230} times \frac{23}{10} by multiplying numerator times numerator and denominator times denominator.

$$5.29-\frac{9\times 23}{230\times 10}-2\times 2.3\times 0\times 3$$

Do the multiplications in the fraction \frac{9\times 23}{230\times 10}.

$$5.29-\frac{207}{2300}-2\times 2.3\times 0\times 3$$

Reduce the fraction \frac{207}{2300} to lowest terms by extracting and canceling out 23.

$$5.29-\frac{9}{100}-2\times 2.3\times 0\times 3$$

Convert decimal number 5.29 to fraction \frac{529}{100}.

$$\frac{529}{100}-\frac{9}{100}-2\times 2.3\times 0\times 3$$

Since \frac{529}{100} and \frac{9}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{529-9}{100}-2\times 2.3\times 0\times 3$$

Subtract 9 from 529 to get 520.

$$\frac{520}{100}-2\times 2.3\times 0\times 3$$

Reduce the fraction \frac{520}{100} to lowest terms by extracting and canceling out 20.

$$\frac{26}{5}-2\times 2.3\times 0\times 3$$

Multiply 2 and 2.3 to get 4.6.

$$\frac{26}{5}-4.6\times 0\times 3$$

Multiply 4.6 and 0 to get 0.

$$\frac{26}{5}-0\times 3$$

Multiply 0 and 3 to get 0.

$$\frac{26}{5}-0$$

Subtract 0 from \frac{26}{5} to get \frac{26}{5}.

$$\frac{26}{5}$$

Factor

$$\frac{2 \cdot 13}{5} = 5\frac{1}{5} = 5.2$$