Solve 4(9/19)/2

$$\frac { 4 ( \frac { 9 } { 19 } ) } { 2 }$$

Evaluate

$$\frac{18}{19}\approx 0.947368421$$

Solution Steps

Express 4\times \frac{9}{19} as a single fraction.

$$\frac{\frac{4\times 9}{19}}{2}$$

Multiply 4 and 9 to get 36.

$$\frac{\frac{36}{19}}{2}$$

Express \frac{\frac{36}{19}}{2} as a single fraction.

$$\frac{36}{19\times 2}$$

Multiply 19 and 2 to get 38.

$$\frac{36}{38}$$

Reduce the fraction \frac{36}{38} to lowest terms by extracting and canceling out 2.

$$\frac{18}{19}$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{19} = 0.9473684210526315$$