Solve 2+3/2+4*2+4/2-7

$$\frac { 2 + 3 } { 2 + 4 } \cdot \frac { 2 + 4 } { 2 - 7 }$$

Evaluate

$$-1$$

Solution Steps

Add 2 and 3 to get 5.

$$\frac{5}{2+4}\times \frac{2+4}{2-7}$$

Add 2 and 4 to get 6.

$$\frac{5}{6}\times \frac{2+4}{2-7}$$

Add 2 and 4 to get 6.

$$\frac{5}{6}\times \frac{6}{2-7}$$

Subtract 7 from 2 to get -5.

$$\frac{5}{6}\times \frac{6}{-5}$$

Fraction \frac{6}{-5} can be rewritten as -\frac{6}{5} by extracting the negative sign.

$$\frac{5}{6}\left(-\frac{6}{5}\right)$$

Multiply \frac{5}{6} times -\frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\left(-6\right)}{6\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{-6}{6}$$

Divide -6 by 6 to get -1.

$$-1$$

Factor

$$-1$$