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Answer:
[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{6} - \frac{3}{6}[/tex]
[tex]\frac{2}{3} - \frac{1}{2} = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{?} - \frac{?}{6}[/tex]
[tex]/ - / = \frac{?}{6}[/tex]
Required
Fill in the gaps
For Line 1, convert both fraction to a denominator of 6.
This is shown below:
[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{?} - \frac{?}{6}[/tex]
[tex]\frac{2}{2}*\frac{2}{3} - \frac{1}{2} *\frac{3}{3}[/tex]
[tex]\frac{2*2}{2*3} - \frac{1*3}{2*3}[/tex]
[tex]\frac{4}{6} - \frac{3}{6}[/tex]
Hence:
[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{6} - \frac{3}{6}[/tex]
For Line 2;
We have:
[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{6} - \frac{3}{6}[/tex]
[tex]\frac{2}{3} - \frac{1}{2} = \frac{4-3}{6}[/tex]
[tex]\frac{2}{3} - \frac{1}{2} = \frac{1}{6}[/tex]