Solve 6(7)-1/(7)^2-2(7)-63

$$\frac { 6 ( 7 ) - 1 } { ( 7 ) ^ { 2 } - 2 ( 7 ) - 63 }$$

Evaluate

$$-\frac{41}{28}\approx -1.464285714$$

Solution Steps

Multiply 6 and 7 to get 42.

$$\frac{42-1}{7^{2}-2\times 7-63}$$

Subtract 1 from 42 to get 41.

$$\frac{41}{7^{2}-2\times 7-63}$$

Calculate 7 to the power of 2 and get 49.

$$\frac{41}{49-2\times 7-63}$$

Multiply 2 and 7 to get 14.

$$\frac{41}{49-14-63}$$

Subtract 14 from 49 to get 35.

$$\frac{41}{35-63}$$

Subtract 63 from 35 to get -28.

$$\frac{41}{-28}$$

Fraction \frac{41}{-28} can be rewritten as -\frac{41}{28} by extracting the negative sign.

$$-\frac{41}{28}$$

Factor

$$-\frac{41}{28} = -1\frac{13}{28} = -1.4642857142857142$$