Ratio
How to write a ratio (colon form, fraction form, with unit): 5 examples and their solutions.
Example4 to 6 in Colon Form
4 to 6 in colon form is 4 : 6.
4 and 6 have the common factor 2,
which is greater than 1.
Then divide both 4 and 6 by 2.
4/2 = 2
6/2 = 3
So 4 : 6 = 2 : 3.
2 and 3 only have the common factor 1.
So 2 : 3 is the simplest form.
So this is the answer.
Example4 to 6 in Fraction Form
4 to 6 in fraction form is 4/6.
4 and 6 have the common factor 2,
which is greater than 1.
Then divide both 4 and 6 by 2.
4/2 = 2
6/2 = 3
So 4/6 = 2/3.
2 and 3 only have the common factor 1.
So 2/3 is the simplest form.
So this is the answer.
Example30 to 50 in Simplist Form
It says
write the ratio in simplist form.
Then write the ratio in fraction form:
the fraction form is the default.
So the ratio is 35/50.
35 and 50 have the common factor 5,
which is greater than 1.
Then divide both 35 and 50 by 5.
35/5 = 7
50/5 = 10
So 35/50 = 7/10.
7 and 10 only have the common factor 1.
So 7/10 is the simplest form.
So this is the answer.
Example9 min to 15 min
The ratio is (9 min)/(15 min).
Cancel the minute units.
9 and 15 have the common factor 3,
which is greater than 1.
Then divide both 9 and 15 by 3.
9/3 = 3
15/3 = 5
So 9/15 = 3/5.
3 and 5 only have the common factor 1.
So 3/5 is the simplest form.
So this is the answer.
Example2 Weeks to 6 Days
2 weeks and 6 days have different units.
To make the units the same,
change 2 weeks to days.
Change Unit (Measure)
First write (2 weeks).
To remove the unit [weeks],
you need [week] in the denominator.
And you need the unit [days] in the numerator.
1 week = 7 days
So multiply [7 days]/[1 week].
Cancel the [week(s)] units.
Then (2)⋅(7 days)/1 = 14 days.
So 2 weeks is 14 days.
It says
write the ratio 2 weeks to 6 days.
2 weeks is 14 days.
So write the ratio 14 days to 6 days:
(14 days)/(6 days).
Cancel the [days] units.
14 and 6 have the common factor 2,
which is greater than 1.
Then divide both 14 and 6 by 2.
14/2 = 7
6/2 = 3
So 14/6 = 7/3.
7 and 3 only have the common factor 1.
So 7/3 is the simplest form.
So this is the answer.