Solve 0,97*0,004/0,97*0,004+0,996*0,02

$$\frac { 0,97 \times 0,004 } { 0,97 \times 0,004 + 0,996 \times 0,02 }$$

Evaluate

$$\frac{97}{595}\approx 0,16302521$$

Solution Steps

Multiply 0,97 and 0,004 to get 0,00388.

$$\frac{0,00388}{0,97\times 0,004+0,996\times 0,02}$$

Multiply 0,97 and 0,004 to get 0,00388.

$$\frac{0,00388}{0,00388+0,996\times 0,02}$$

Multiply 0,996 and 0,02 to get 0,01992.

$$\frac{0,00388}{0,00388+0,01992}$$

Add 0,00388 and 0,01992 to get 0,0238.

$$\frac{0,00388}{0,0238}$$

Expand \frac{0,00388}{0,0238} by multiplying both numerator and the denominator by 100000.

$$\frac{388}{2380}$$

Reduce the fraction \frac{388}{2380} to lowest terms by extracting and canceling out 4.

$$\frac{97}{595}$$

Factor

$$\frac{97}{5 \cdot 7 \cdot 17} = 0.16302521008403362$$