Question

Use the least common denominator to enter an equivalent fraction for ea fraction.

Answer 1

Given

`(5)/(28)and(3)/(56)`

To find the LCD, we find the LCM of the denominators. Find the LCM of 28 and 56:

`\begin{gathered} 28=2\cdot2\cdot7 \\ 56=2\cdot2\cdot2\cdot7 \end{gathered}`

So:

`\text{LCD}=2\cdot2\cdot2\cdot7=56`

Next, to write 5/28 as a fraction with a common denominator we will multiply the denominator and numerator by 2. This is:

`(5)/(28)=(5\cdot2)/(28\cdot2)=(10)/(56)`

And to write 3/56 as a fraction with a common denominator we will multiply the denominator and numerator by 1. So:

`(3)/(56)=(3\cdot1)/(56\cdot1)=(3)/(56)`

Answer:

`\begin{gathered} (5)/(28)=(10)/(56) \\ (3)/(56)=(3)/(56) \end{gathered}`