Question

Find the LCD. Build up the fractions to equivalent fractions having the LCD as the denominator and then ORDER the fractions from smallest to largest.3/4, 8/9, 1/36

Answer 1

Step-by-step explanation:

`\begin{gathered} \text{Given:} \\ (3)/(4),\text{ }(8)/(9),\text{ }(1)/(36) \end{gathered}`

The least common denminator = 36

We will build each fraction with the least common denominator:

`\begin{gathered} 36\text{ = 4 }*9 \\ (3)/(4)\text{ = }(3)/(4)*(9)/(9) \\ =\text{ }(27)/(36) \end{gathered}`
`\begin{gathered} 36\text{ = 4}*9 \\ (8)/(9)*(4)/(4)=\text{ }(32)/(36) \end{gathered}`
`\begin{gathered} 36\text{ = 1}*\text{ 36} \\ (1)/(36)*(1)/(1)\text{ = }(1)/(36) \end{gathered}`