Solve +2^37+2^36/2^38+2^37

$$\frac { + 2 ^ { 37 } + 2 ^ { 36 } } { 2 ^ { 38 } + 2 ^ { 37 } }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Calculate 2 to the power of 37 and get 137438953472.

$$\frac{137438953472+2^{36}}{2^{38}+2^{37}}$$

Calculate 2 to the power of 36 and get 68719476736.

$$\frac{137438953472+68719476736}{2^{38}+2^{37}}$$

Add 137438953472 and 68719476736 to get 206158430208.

$$\frac{206158430208}{2^{38}+2^{37}}$$

Calculate 2 to the power of 38 and get 274877906944.

$$\frac{206158430208}{274877906944+2^{37}}$$

Calculate 2 to the power of 37 and get 137438953472.

$$\frac{206158430208}{274877906944+137438953472}$$

Add 274877906944 and 137438953472 to get 412316860416.

$$\frac{206158430208}{412316860416}$$

Reduce the fraction \frac{206158430208}{412316860416} to lowest terms by extracting and canceling out 206158430208.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$