Answer:
5/4
Explanation:
The division of fractions can be calculated as:
[tex]\frac{a}{b}\div\frac{c}{d}=\frac{a\times d}{b\times c}[/tex]Therefore, 10/12 ÷ 4/6 is equal to:
[tex]\frac{10}{12}\div\frac{4}{6}=\frac{10\times6}{12\times4}=\frac{60}{48}=\frac{5}{4}[/tex]Now, using fraction bars, we first need to represent 10/12 as the green line.
So, if the black line is the whole bar, the green line is 10/12 and the red bar represents 4/6.
Now, we can see that we can complete a green bar with one red bar and 1 yellow bar, where every yellow bar is 1/4 of the red one.
So, the division of 10/12 by 4/6 is:
1 (red) + 1/4 (yellow) = 5/4
1 + 1/4 = 5/4