Solve 4968493*10^10-(-1507123664/2.579595339*10^14-2.473247681*10^14)

$$4968493 \times 10 ^ { 10 } - ( \frac { - 1507123664 } { 2.579595339 \times 10 ^ { 14 } - 2.473247681 \times 10 ^ { 14 } } )$$

Evaluate

$$\frac{33024224646212125000094195229}{664672862500}\approx 4.968493 \cdot 10^{16}$$

Solution Steps

Calculate 10 to the power of 10 and get 10000000000.

$$4968493\times 10000000000-\frac{-1507123664}{2.579595339\times 10^{14}-2.473247681\times 10^{14}}$$

Multiply 4968493 and 10000000000 to get 49684930000000000.

$$49684930000000000-\frac{-1507123664}{2.579595339\times 10^{14}-2.473247681\times 10^{14}}$$

Calculate 10 to the power of 14 and get 100000000000000.

$$49684930000000000-\frac{-1507123664}{2.579595339\times 100000000000000-2.473247681\times 10^{14}}$$

Multiply 2.579595339 and 100000000000000 to get 257959533900000.

$$49684930000000000-\frac{-1507123664}{257959533900000-2.473247681\times 10^{14}}$$

Calculate 10 to the power of 14 and get 100000000000000.

$$49684930000000000-\frac{-1507123664}{257959533900000-2.473247681\times 100000000000000}$$

Multiply 2.473247681 and 100000000000000 to get 247324768100000.

$$49684930000000000-\frac{-1507123664}{257959533900000-247324768100000}$$

Subtract 247324768100000 from 257959533900000 to get 10634765800000.

$$49684930000000000-\frac{-1507123664}{10634765800000}$$

Reduce the fraction \frac{-1507123664}{10634765800000} to lowest terms by extracting and canceling out 16.

$$49684930000000000-\left(-\frac{94195229}{664672862500}\right)$$

The opposite of -\frac{94195229}{664672862500} is \frac{94195229}{664672862500}.

$$49684930000000000+\frac{94195229}{664672862500}$$

Convert 49684930000000000 to fraction \frac{33024224646212125000000000000}{664672862500}.

$$\frac{33024224646212125000000000000}{664672862500}+\frac{94195229}{664672862500}$$

Since \frac{33024224646212125000000000000}{664672862500} and \frac{94195229}{664672862500} have the same denominator, add them by adding their numerators.

$$\frac{33024224646212125000000000000+94195229}{664672862500}$$

Add 33024224646212125000000000000 and 94195229 to get 33024224646212125000094195229.

$$\frac{33024224646212125000094195229}{664672862500}$$

Factor

$$\frac{330329 \cdot 3702731008604118363263 \cdot 3 ^ {3}}{599 \cdot 88771 \cdot 2 ^ {2} \cdot 5 ^ {5}} = 49684930000000000\frac{243791179484}{664672862500} = 49684930000000000$$