Solve =3/10*3/9*6/9*9/14

$$= \frac { 3 } { 10 } \times \frac { 3 } { 9 } \times \frac { 6 } { 9 } \times \frac { 9 } { 14 }$$

Evaluate

$$\frac{3}{70}\approx 0.042857143$$

Solution Steps

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{3}{10}\times \frac{1}{3}\times \frac{6}{9}\times \frac{9}{14}$$

Multiply \frac{3}{10} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{10\times 3}\times \frac{6}{9}\times \frac{9}{14}$$

Cancel out 3 in both numerator and denominator.

$$\frac{1}{10}\times \frac{6}{9}\times \frac{9}{14}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{1}{10}\times \frac{2}{3}\times \frac{9}{14}$$

Multiply \frac{1}{10} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 2}{10\times 3}\times \frac{9}{14}$$

Do the multiplications in the fraction \frac{1\times 2}{10\times 3}.

$$\frac{2}{30}\times \frac{9}{14}$$

Reduce the fraction \frac{2}{30} to lowest terms by extracting and canceling out 2.

$$\frac{1}{15}\times \frac{9}{14}$$

Multiply \frac{1}{15} times \frac{9}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 9}{15\times 14}$$

Do the multiplications in the fraction \frac{1\times 9}{15\times 14}.

$$\frac{9}{210}$$

Reduce the fraction \frac{9}{210} to lowest terms by extracting and canceling out 3.

$$\frac{3}{70}$$

Factor

$$\frac{3}{2 \cdot 5 \cdot 7} = 0.04285714285714286$$