Solve 5.9810^24/7.3510^22+1

$$\frac{ 5.98 { 10 }^{ 24 } }{ 7.35 { 10 }^{ 22 } } +1$$

Evaluate

$$\frac{12107}{147}\approx 82.360544218$$

Solution Steps

Cancel out 10^{22} in both numerator and denominator.

$$\frac{5.98\times 10^{2}}{7.35}+1$$

Calculate 10 to the power of 2 and get 100.

$$\frac{5.98\times 100}{7.35}+1$$

Multiply 5.98 and 100 to get 598.

$$\frac{598}{7.35}+1$$

Expand \frac{598}{7.35} by multiplying both numerator and the denominator by 100.

$$\frac{59800}{735}+1$$

Reduce the fraction \frac{59800}{735} to lowest terms by extracting and canceling out 5.

$$\frac{11960}{147}+1$$

Convert 1 to fraction \frac{147}{147}.

$$\frac{11960}{147}+\frac{147}{147}$$

Since \frac{11960}{147} and \frac{147}{147} have the same denominator, add them by adding their numerators.

$$\frac{11960+147}{147}$$

Add 11960 and 147 to get 12107.

$$\frac{12107}{147}$$

Factor

$$\frac{12107}{3 \cdot 7 ^ {2}} = 82\frac{53}{147} = 82.36054421768708$$