Solve 42/6.5*frac{185{125}}

$$\frac{ 42 }{ 6.5 \times \frac{ 185 }{ 125 } }$$

Evaluate

$$\frac{2100}{481}\approx 4.365904366$$

Solution Steps

Reduce the fraction \frac{185}{125} to lowest terms by extracting and canceling out 5.

$$\frac{42}{6.5\times \frac{37}{25}}$$

Convert decimal number 6.5 to fraction \frac{65}{10}. Reduce the fraction \frac{65}{10} to lowest terms by extracting and canceling out 5.

$$\frac{42}{\frac{13}{2}\times \frac{37}{25}}$$

Multiply \frac{13}{2} times \frac{37}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{42}{\frac{13\times 37}{2\times 25}}$$

Do the multiplications in the fraction \frac{13\times 37}{2\times 25}.

$$\frac{42}{\frac{481}{50}}$$

Divide 42 by \frac{481}{50} by multiplying 42 by the reciprocal of \frac{481}{50}.

$$42\times \frac{50}{481}$$

Express 42\times \frac{50}{481} as a single fraction.

$$\frac{42\times 50}{481}$$

Multiply 42 and 50 to get 2100.

$$\frac{2100}{481}$$

Factor

$$\frac{3 \cdot 7 \cdot 2 ^ {2} \cdot 5 ^ {2}}{13 \cdot 37} = 4\frac{176}{481} = 4.365904365904366$$