Solve 7000/21(0.4+390/700)

$$\frac { 7000 } { 21 } ( 0.4 + \frac { 390 } { 700 } )$$

Evaluate

$$\frac{6700}{21}\approx 319.047619048$$

Solution Steps

Reduce the fraction \frac{7000}{21} to lowest terms by extracting and canceling out 7.

$$\frac{1000}{3}\left(0.4+\frac{390}{700}\right)$$

Reduce the fraction \frac{390}{700} to lowest terms by extracting and canceling out 10.

$$\frac{1000}{3}\left(0.4+\frac{39}{70}\right)$$

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1000}{3}\left(\frac{2}{5}+\frac{39}{70}\right)$$

Least common multiple of 5 and 70 is 70. Convert \frac{2}{5} and \frac{39}{70} to fractions with denominator 70.

$$\frac{1000}{3}\left(\frac{28}{70}+\frac{39}{70}\right)$$

Since \frac{28}{70} and \frac{39}{70} have the same denominator, add them by adding their numerators.

$$\frac{1000}{3}\times \frac{28+39}{70}$$

Add 28 and 39 to get 67.

$$\frac{1000}{3}\times \frac{67}{70}$$

Multiply \frac{1000}{3} times \frac{67}{70} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1000\times 67}{3\times 70}$$

Do the multiplications in the fraction \frac{1000\times 67}{3\times 70}.

$$\frac{67000}{210}$$

Reduce the fraction \frac{67000}{210} to lowest terms by extracting and canceling out 10.

$$\frac{6700}{21}$$

Factor

$$\frac{67 \cdot 2 ^ {2} \cdot 5 ^ {2}}{3 \cdot 7} = 319\frac{1}{21} = 319.04761904761904$$