Given the fractions:
[tex]\frac{1}{4},\frac{1}{2},\frac{3}{4}[/tex]The fraction on the numbers lines will be as shown in the following picture:
We will write two fractions equivalent to each given fraction:
The two fractions equivalent to 1/4 :
[tex]\begin{gathered} 1)\frac{1}{4}=\frac{2\cdot1}{2\cdot4}=\frac{2}{8} \\ 2)\frac{1}{4}=\frac{3\cdot1}{3\cdot4}=\frac{3}{12} \end{gathered}[/tex]The two fractions equivalent to 1/2:
[tex]\begin{gathered} 1)\frac{1}{2}=\frac{2\cdot1}{2\cdot2}=\frac{2}{4} \\ 2)\frac{1}{2}=\frac{3\cdot1}{3\cdot2}=\frac{3}{6} \end{gathered}[/tex]The two fractions equivalent to 3/4:
[tex]\begin{gathered} 1)\frac{3}{4}=\frac{2\cdot3}{2\cdot4}=\frac{6}{8} \\ 2)\frac{3}{4}=\frac{3\cdot3}{3\cdot4}=\frac{9}{12} \end{gathered}[/tex]A story problem to go with your equivalent fractions.
A student has 6 cards of fractions
2/8, 3/6, 3/12, 6/8, 3/12, 9/12, 2/4
And want to make 3 boards, each board contains the equivalent fractions, what are the fractions of each board?
The answer will be:
The student will make three boards:
Board (1): will contain the fractions equivalent to 1/4 which are 2/8 and 3/12
Board (2): will contain the fractions equivalent to 1/2 which are 2/4 and 3/6
Board (3): will contain the fractions equivalent to 3/4 which are 6/8 and 9/12
