reduce to simplest form.\n-\\frac{5}{9}+\\left(-\\frac{7}{12}\\right)=\\square

reduce to simplest form.\n-\\frac{5}{9}+\\left(-\\frac{7}{12}\\right)=\\square

reduce to simplest form.\n-\\frac{5}{9}+\\left(-\\frac{7}{12}\\right)=\\square

Answer

Explanation:

Step1: Find the common denominator

The common - denominator of 9 and 12 is 36.

Step2: Rewrite the fractions

$\frac{5}{9}=\frac{5\times4}{9\times4}=\frac{20}{36}$ and $\frac{7}{12}=\frac{7\times3}{12\times3}=\frac{21}{36}$

Step3: Perform the addition

$\frac{5}{9}+(-\frac{7}{12})=\frac{20}{36}-\frac{21}{36}=\frac{20 - 21}{36}=-\frac{1}{36}$

Answer:

$-\frac{1}{36}$