Solve [-7+14:(5-549)]:7=

$$[ - 7 + 14 : ( 5 - 549 ) ] : 7 =$$

Evaluate

$$-\frac{273}{272}\approx -1.003676471$$

Solution Steps

Subtract 549 from 5 to get -544.

$$\frac{-7+\frac{14}{-544}}{7}$$

Reduce the fraction \frac{14}{-544} to lowest terms by extracting and canceling out 2.

$$\frac{-7-\frac{7}{272}}{7}$$

Convert -7 to fraction -\frac{1904}{272}.

$$\frac{-\frac{1904}{272}-\frac{7}{272}}{7}$$

Since -\frac{1904}{272} and \frac{7}{272} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{-1904-7}{272}}{7}$$

Subtract 7 from -1904 to get -1911.

$$\frac{-\frac{1911}{272}}{7}$$

Express \frac{-\frac{1911}{272}}{7} as a single fraction.

$$\frac{-1911}{272\times 7}$$

Multiply 272 and 7 to get 1904.

$$\frac{-1911}{1904}$$

Reduce the fraction \frac{-1911}{1904} to lowest terms by extracting and canceling out 7.

$$-\frac{273}{272}$$

Factor

$$-\frac{273}{272} = -1\frac{1}{272} = -1.0036764705882353$$