Solve 40/frac{0.006{0.78}*2+0.008/244}=

$$\frac{ 40 }{ \frac{ 0.006 }{ 0.78 } \times 2+ \frac{ 0.008 }{ 244 } } =$$

Evaluate

$$\frac{15860000}{6113}\approx 2594.470799935$$

Solution Steps

Expand \frac{0.006}{0.78} by multiplying both numerator and the denominator by 1000.

$$\frac{40}{\frac{6}{780}\times 2+\frac{0.008}{244}}$$

Reduce the fraction \frac{6}{780} to lowest terms by extracting and canceling out 6.

$$\frac{40}{\frac{1}{130}\times 2+\frac{0.008}{244}}$$

Multiply \frac{1}{130} and 2 to get \frac{2}{130}.

$$\frac{40}{\frac{2}{130}+\frac{0.008}{244}}$$

Reduce the fraction \frac{2}{130} to lowest terms by extracting and canceling out 2.

$$\frac{40}{\frac{1}{65}+\frac{0.008}{244}}$$

Expand \frac{0.008}{244} by multiplying both numerator and the denominator by 1000.

$$\frac{40}{\frac{1}{65}+\frac{8}{244000}}$$

Reduce the fraction \frac{8}{244000} to lowest terms by extracting and canceling out 8.

$$\frac{40}{\frac{1}{65}+\frac{1}{30500}}$$

Least common multiple of 65 and 30500 is 396500. Convert \frac{1}{65} and \frac{1}{30500} to fractions with denominator 396500.

$$\frac{40}{\frac{6100}{396500}+\frac{13}{396500}}$$

Since \frac{6100}{396500} and \frac{13}{396500} have the same denominator, add them by adding their numerators.

$$\frac{40}{\frac{6100+13}{396500}}$$

Add 6100 and 13 to get 6113.

$$\frac{40}{\frac{6113}{396500}}$$

Divide 40 by \frac{6113}{396500} by multiplying 40 by the reciprocal of \frac{6113}{396500}.

$$40\times \frac{396500}{6113}$$

Express 40\times \frac{396500}{6113} as a single fraction.

$$\frac{40\times 396500}{6113}$$

Multiply 40 and 396500 to get 15860000.

$$\frac{15860000}{6113}$$

Factor

$$\frac{13 \cdot 61 \cdot 2 ^ {5} \cdot 5 ^ {4}}{6113} = 2594\frac{2878}{6113} = 2594.4707999345655$$