Solve 3/7*(1/9+4/9)

$$\frac { 3 } { 7 } \cdot ( \frac { 1 } { 9 } + \frac { 4 } { 9 } )$$

Evaluate

$$\frac{5}{21}\approx 0.238095238$$

Solution Steps

Since \frac{1}{9} and \frac{4}{9} have the same denominator, add them by adding their numerators.

$$\frac{3}{7}\times \frac{1+4}{9}$$

Add 1 and 4 to get 5.

$$\frac{3}{7}\times \frac{5}{9}$$

Multiply \frac{3}{7} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{7\times 9}$$

Do the multiplications in the fraction \frac{3\times 5}{7\times 9}.

$$\frac{15}{63}$$

Reduce the fraction \frac{15}{63} to lowest terms by extracting and canceling out 3.

$$\frac{5}{21}$$

Factor

$$\frac{5}{3 \cdot 7} = 0.23809523809523808$$