Solve 0.42*9.81/0.4+0.42

$$\frac{ 0.42 \times 9.81 }{ 0.4+0.42 }$$

Evaluate

$$\frac{20601}{4100}\approx 5.024634146$$

Solution Steps

Multiply 0.42 and 9.81 to get 4.1202.

$$\frac{4.1202}{0.4+0.42}$$

Add 0.4 and 0.42 to get 0.82.

$$\frac{4.1202}{0.82}$$

Expand \frac{4.1202}{0.82} by multiplying both numerator and the denominator by 10000.

$$\frac{41202}{8200}$$

Reduce the fraction \frac{41202}{8200} to lowest terms by extracting and canceling out 2.

$$\frac{20601}{4100}$$

Factor

$$\frac{7 \cdot 109 \cdot 3 ^ {3}}{41 \cdot 2 ^ {2} \cdot 5 ^ {2}} = 5\frac{101}{4100} = 5.024634146341463$$