Answer:
[tex]\frac{1}{12} =\frac{2}{24} =\frac{3}{36} =\frac{4}{48} =\frac{5}{60} =\frac{6}{72}[/tex]
Step-by-step explanation:
Since the numerators (top numbers of the fraction) have been given. Look for a pattern there first. There is 1, 2, 3, 4, 5, and 6. All of these numbers can be divided by 1. To find the denominator (lower number) of 3, we can use a ratio.
We know 1/12 so we should use this in our ratio. Let y represent the denominator.
[tex]\frac{1}{12} =\frac{3}{y}[/tex]
We can cross multiply.
1(y) = 3(12)
y = 36
[tex]\frac{1}{12} =\frac{3}{36}[/tex]
To find the denominator of 5, follow the same steps.
[tex]\frac{1}{12} =\frac{5}{y}[/tex]
1(y) = 5(12)
y = 60
[tex]\frac{1}{12} =\frac{5}{60}[/tex]
To find the denominator of 6, once again use the same steps.
[tex]\frac{1}{12} =\frac{6}{y}[/tex]
1(y) = 6(12)
y = 72
[tex]\frac{1}{12} =\frac{6}{72}[/tex]
