Solve 142/frac{1.59{0.73}*21.4+0.0*21.4}

$$\frac{ 142 }{ \frac{ 1.59 }{ 0.73 } \times 21.4+0.0 \times 21.4 }$$

Evaluate

$$\frac{51830}{17013}\approx 3.046493858$$

Solution Steps

Expand \frac{1.59}{0.73} by multiplying both numerator and the denominator by 100.

$$\frac{142}{\frac{159}{73}\times 21.4+0\times 21.4}$$

Convert decimal number 21.4 to fraction \frac{214}{10}. Reduce the fraction \frac{214}{10} to lowest terms by extracting and canceling out 2.

$$\frac{142}{\frac{159}{73}\times \frac{107}{5}+0\times 21.4}$$

Multiply \frac{159}{73} times \frac{107}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{142}{\frac{159\times 107}{73\times 5}+0\times 21.4}$$

Do the multiplications in the fraction \frac{159\times 107}{73\times 5}.

$$\frac{142}{\frac{17013}{365}+0\times 21.4}$$

Multiply 0 and 21.4 to get 0.

$$\frac{142}{\frac{17013}{365}+0}$$

Add \frac{17013}{365} and 0 to get \frac{17013}{365}.

$$\frac{142}{\frac{17013}{365}}$$

Divide 142 by \frac{17013}{365} by multiplying 142 by the reciprocal of \frac{17013}{365}.

$$142\times \frac{365}{17013}$$

Express 142\times \frac{365}{17013} as a single fraction.

$$\frac{142\times 365}{17013}$$

Multiply 142 and 365 to get 51830.

$$\frac{51830}{17013}$$

Factor

$$\frac{2 \cdot 5 \cdot 71 \cdot 73}{3 \cdot 53 \cdot 107} = 3\frac{791}{17013} = 3.0464938576382767$$