Solve 4/23*(-13/9)

$$\frac { 4 } { 23 } \cdot ( - 1 \frac { 3 } { 9 } )$$

Evaluate

$$-\frac{16}{69}\approx -0.231884058$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{4}{23}\left(-\frac{9+3}{9}\right)$$

Add 9 and 3 to get 12.

$$\frac{4}{23}\left(-\frac{12}{9}\right)$$

Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.

$$\frac{4}{23}\left(-\frac{4}{3}\right)$$

Multiply \frac{4}{23} times -\frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\left(-4\right)}{23\times 3}$$

Do the multiplications in the fraction \frac{4\left(-4\right)}{23\times 3}.

$$\frac{-16}{69}$$

Fraction \frac{-16}{69} can be rewritten as -\frac{16}{69} by extracting the negative sign.

$$-\frac{16}{69}$$

Factor

$$-\frac{16}{69} = -0.2318840579710145$$