Solve |11/15div-2*3/5div9/13

$$| \frac { 11 } { 15 } \div - 2 \cdot \frac { 3 } { 5 } \div \frac { 9 } { 13 }$$

Evaluate

$$\frac{143}{450}\approx 0.317777778$$

Solution Steps

Express \frac{\frac{11}{15}}{-2} as a single fraction.

$$|\frac{\frac{11}{15\left(-2\right)}\times \frac{3}{5}}{\frac{9}{13}}|$$

Multiply 15 and -2 to get -30.

$$|\frac{\frac{11}{-30}\times \frac{3}{5}}{\frac{9}{13}}|$$

Fraction \frac{11}{-30} can be rewritten as -\frac{11}{30} by extracting the negative sign.

$$|\frac{-\frac{11}{30}\times \frac{3}{5}}{\frac{9}{13}}|$$

Multiply -\frac{11}{30} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$|\frac{\frac{-11\times 3}{30\times 5}}{\frac{9}{13}}|$$

Do the multiplications in the fraction \frac{-11\times 3}{30\times 5}.

$$|\frac{\frac{-33}{150}}{\frac{9}{13}}|$$

Reduce the fraction \frac{-33}{150} to lowest terms by extracting and canceling out 3.

$$|\frac{-\frac{11}{50}}{\frac{9}{13}}|$$

Divide -\frac{11}{50} by \frac{9}{13} by multiplying -\frac{11}{50} by the reciprocal of \frac{9}{13}.

$$|-\frac{11}{50}\times \frac{13}{9}|$$

Multiply -\frac{11}{50} times \frac{13}{9} by multiplying numerator times numerator and denominator times denominator.

$$|\frac{-11\times 13}{50\times 9}|$$

Do the multiplications in the fraction \frac{-11\times 13}{50\times 9}.

$$|\frac{-143}{450}|$$

Fraction \frac{-143}{450} can be rewritten as -\frac{143}{450} by extracting the negative sign.

$$|-\frac{143}{450}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{143}{450} is \frac{143}{450}.

$$\frac{143}{450}$$

Factor

$$\frac{11 \cdot 13}{2 \cdot 3 ^ {2} \cdot 5 ^ {2}} = 0.31777777777777777$$