Solve (2*22/7*8)-gamma-7

$$( 2 \times \frac { 22 } { 7 } \times 8 ) - \gamma - 7$$

Evaluate

$$\frac{303}{7}-\gamma$$

Solution Steps

Express 2\times \frac{22}{7} as a single fraction.

$$\frac{2\times 22}{7}\times 8-\gamma -7$$

Multiply 2 and 22 to get 44.

$$\frac{44}{7}\times 8-\gamma -7$$

Express \frac{44}{7}\times 8 as a single fraction.

$$\frac{44\times 8}{7}-\gamma -7$$

Multiply 44 and 8 to get 352.

$$\frac{352}{7}-\gamma -7$$

Convert 7 to fraction \frac{49}{7}.

$$\frac{352}{7}-\gamma -\frac{49}{7}$$

Since \frac{352}{7} and \frac{49}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{352-49}{7}-\gamma$$

Subtract 49 from 352 to get 303.

$$\frac{303}{7}-\gamma$$

Factor

$$\frac{303-7\gamma }{7}$$

Solution Steps

Factor out \frac{1}{7}.

$$\frac{303-7\gamma }{7}$$

Consider 352-7\gamma -49. Multiply and combine like terms.

$$-7\gamma +303$$

Rewrite the complete factored expression.

$$\frac{-7\gamma +303}{7}$$