Solve 2.3*2.3-0.3*0.3/2.3*2.3-2*2.3*0.3+0.3*0.3

$$\frac { 2.3 \times 2.3 - 0.3 \times 0.3 } { 2.3 \times 2.3 - 2 \times 2.3 \times 0.3 + 0.3 \times 0.3 }$$

Evaluate

$$1.3$$

Solution Steps

Multiply 2.3 and 2.3 to get 5.29.

$$\frac{5.29-0.3\times 0.3}{2.3\times 2.3-2\times 2.3\times 0.3+0.3\times 0.3}$$

Multiply 0.3 and 0.3 to get 0.09.

$$\frac{5.29-0.09}{2.3\times 2.3-2\times 2.3\times 0.3+0.3\times 0.3}$$

Subtract 0.09 from 5.29 to get 5.2.

$$\frac{5.2}{2.3\times 2.3-2\times 2.3\times 0.3+0.3\times 0.3}$$

Multiply 2.3 and 2.3 to get 5.29.

$$\frac{5.2}{5.29-2\times 2.3\times 0.3+0.3\times 0.3}$$

Multiply 2 and 2.3 to get 4.6.

$$\frac{5.2}{5.29-4.6\times 0.3+0.3\times 0.3}$$

Multiply 4.6 and 0.3 to get 1.38.

$$\frac{5.2}{5.29-1.38+0.3\times 0.3}$$

Subtract 1.38 from 5.29 to get 3.91.

$$\frac{5.2}{3.91+0.3\times 0.3}$$

Multiply 0.3 and 0.3 to get 0.09.

$$\frac{5.2}{3.91+0.09}$$

Add 3.91 and 0.09 to get 4.

$$\frac{5.2}{4}$$

Expand \frac{5.2}{4} by multiplying both numerator and the denominator by 10.

$$\frac{52}{40}$$

Reduce the fraction \frac{52}{40} to lowest terms by extracting and canceling out 4.

$$\frac{13}{10}$$

Factor

$$\frac{13}{2 \cdot 5} = 1\frac{3}{10} = 1.3$$