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Sagot :
[tex]\begin{gathered} \text{ We want to write }\frac{2}{3}\text{ and }\frac{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}[/tex][tex]\text{ }\frac{2}{3}\text{ = }\frac{\square}{12}[/tex][tex]\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 }\frac{2}{3}=\text{ }\frac{8}{12} \end{gathered}[/tex][tex]\begin{gathered} \text{ also, }\frac{3}{4}\text{ = }\frac{\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 }\frac{3}{4}\text{ = }\frac{9}{12} \end{gathered}[/tex]
Hence, the answer is
[tex]\text{ }\frac{2}{3}\text{ = }\frac{8}{12}\text{ and }\frac{3}{4}\text{ = }\frac{9}{12}[/tex]
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