Question:
Subtract and simplify
[tex]\frac{7}{9}-\frac{11}{45}[/tex]The two fractions have different denominators,
Therefore,
To do this, you need to find the least common multiple (LCM) of the two denominators.
To subtract fractions with unlike denominators, rename the fractions with a common denominator. Then subtract and simplify.
Step 1: Calculate the LCM OF 9 and 45
The LCM of 9 and 45 is
[tex]\begin{gathered} =3\times3\times5 \\ =45 \end{gathered}[/tex]Step 2:Simplify and subtract the two of them to have a common denominator
[tex]\begin{gathered} \frac{7}{9}-\frac{11}{45} \\ =\frac{(7\times5)-(11\times1)}{45} \\ =\frac{35-11}{45} \\ =\frac{24}{45} \end{gathered}[/tex]Step 3:This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 24 and 45 using
GCF(24,45) = 3
[tex]\begin{gathered} \frac{24}{45} \\ =\frac{24\div3}{45\div3} \\ =\frac{8}{15} \end{gathered}[/tex]Therefore,
The final answer is 8/15
