Solve 1/3.5+1/4.203

$$\frac{ 1 }{ 3.5 } + \frac{ 1 }{ 4.203 }$$

Evaluate

$$\frac{15406}{29421}\approx 0.523639577$$

Solution Steps

Expand \frac{1}{3.5} by multiplying both numerator and the denominator by 10.

$$\frac{10}{35}+\frac{1}{4.203}$$

Reduce the fraction \frac{10}{35} to lowest terms by extracting and canceling out 5.

$$\frac{2}{7}+\frac{1}{4.203}$$

Expand \frac{1}{4.203} by multiplying both numerator and the denominator by 1000.

$$\frac{2}{7}+\frac{1000}{4203}$$

Least common multiple of 7 and 4203 is 29421. Convert \frac{2}{7} and \frac{1000}{4203} to fractions with denominator 29421.

$$\frac{8406}{29421}+\frac{7000}{29421}$$

Since \frac{8406}{29421} and \frac{7000}{29421} have the same denominator, add them by adding their numerators.

$$\frac{8406+7000}{29421}$$

Add 8406 and 7000 to get 15406.

$$\frac{15406}{29421}$$

Factor

$$\frac{2 \cdot 7703}{7 \cdot 467 \cdot 3 ^ {2}} = 0.5236395771727678$$