Question

Write 2/3 and 3/4 as equivalent fractions using a common denominator. can you show me the steps to getting this problem

Answer 1

`\begin{gathered} \text{ We want to write }(2)/(3)\text{ and }(3)/(4)\text{ as equivalent fractions using a common denominator} \\ \text{ Because we are using a common denominator, we have to find a multiple } \\ of\text{ the two denominators ( that is a multiple of 3 and 4 ).} \\ \text{ 12 is a multiple of 3 and 4} \\ So,\text{ let us use 12 as the common denominator} \end{gathered}`
`\text{ }(2)/(3)\text{ = }(\square)/(12)`
`\begin{gathered} \text{ To find the correct value that goes into the box, we say} \\ 12\text{ divided by 3, this gives us 4. Then multiply the numerator by 4, that is 2 x 4 = 8} \\ so,\text{ 8 goes into the box above} \\ we\text{ have }(2)/(3)=\text{ }(8)/(12) \end{gathered}`
`\begin{gathered} \text{ also, }(3)/(4)\text{ = }(\square)/(12) \\ \text{ To find the correct value that goes into the box, we say } \\ 12\text{ divided by 4, this gives 3. Them multiply the numerator by 3, that is 3 x 3= 9} \\ \text{ so, 9 goes into the box} \\ we\text{ have }(3)/(4)\text{ = }(9)/(12) \end{gathered}`

Hence, the answer is

`\text{ }(2)/(3)\text{ = }(8)/(12)\text{ and }(3)/(4)\text{ = }(9)/(12)`