Solve 3.5*3.5-2.6*2.6/0.9

$$\frac { 3.5 \times 3.5 - 2.6 \times 2.6 } { 0.9 }$$

Evaluate

$$6.1$$

Solution Steps

Multiply 3.5 and 3.5 to get 12.25.

$$\frac{12.25-2.6\times 2.6}{0.9}$$

Multiply 2.6 and 2.6 to get 6.76.

$$\frac{12.25-6.76}{0.9}$$

Subtract 6.76 from 12.25 to get 5.49.

$$\frac{5.49}{0.9}$$

Expand \frac{5.49}{0.9} by multiplying both numerator and the denominator by 100.

$$\frac{549}{90}$$

Reduce the fraction \frac{549}{90} to lowest terms by extracting and canceling out 9.

$$\frac{61}{10}$$

Factor

$$\frac{61}{2 \cdot 5} = 6\frac{1}{10} = 6.1$$