2. Simplify the following ratios:
a)
4
8
=
4⋅1
4⋅2
b)
63
12
c) 20:15
d) 300:450
We find the greatest common factor between
4 and 8 which is 4.
3. Simplify the following ratios:
a)
4
8
=
4⋅1
4⋅2
=
1
2
b)
63
12
c) 20:15
d) 300:450
Then, we can cancel the common factor.
4. Simplify the following ratios:
a)
4
8
=
4⋅1
4⋅2
=
1
2
b)
63
12
=
3⋅21
3⋅4
c) 20:15
d) 300:450
We find the greatest common factor between
63 and 12 which is 3.
5. Simplify the following ratios:
a)
4
8
=
4⋅1
4⋅2
=
1
2
b)
63
12
=
3⋅21
3⋅4
=
21
4
c) 20:15
d) 300:450
Then, we can cancel the common factor.
6. Simplify the following ratios:
a)
4
8
=
4⋅1
4⋅2
=
1
2
b)
63
12
=
3⋅21
3⋅4
=
21
4
c) 20:15→
20
15
d) 300:450
Remember that this is just another way to
write a ratio. We can think of it as a fraction.
7. Simplify the following ratios:
a)
4
8
=
4⋅1
4⋅2
=
1
2
b)
63
12
=
3⋅21
3⋅4
=
21
4
c) 20:15→
20
15
=
5⋅4
5⋅3
d) 300:450
We find the greatest common factor between
20 and 15 which is 5.
8. Simplify the following ratios:
a)
4
8
=
4⋅1
4⋅2
=
1
2
b)
63
12
=
3⋅21
3⋅4
=
21
4
c) 20:15→
20
15
=
5⋅4
5⋅3
=
4
3
d) 300:450
Then, we can cancel the common factor.
9. Simplify the following ratios:
a)
4
8
=
4⋅1
4⋅2
=
1
2
b)
63
12
=
3⋅21
3⋅4
=
21
4
c) 20:15→
20
15
=
5⋅4
5⋅3
=
4
3
→ 4: 3
d) 300:450
We can rewrite our answer using the colon
notation.
10. Simplify the following ratios:
a)
4
8
=
4⋅1
4⋅2
=
1
2
b)
63
12
=
3⋅21
3⋅4
=
21
4
c) 20:15→
20
15
=
5⋅4
5⋅3
=
4
3
→ 4: 3
d) 300:450→
300
450
11. Simplify the following ratios:
a)
4
8
=
4⋅1
4⋅2
=
1
2
b)
63
12
=
3⋅21
3⋅4
=
21
4
c) 20:15→
20
15
=
5⋅4
5⋅3
=
4
3
→ 4: 3
d) 300:450→
300
450
=
3⋅100
3⋅150
=
3⋅50⋅2
3⋅50⋅3
We find the greatest common factor between
300 and 450. It can help to find several
common factors and then cross out the
individual factors.
12. Simplify the following ratios:
a)
4
8
=
4⋅1
4⋅2
=
1
2
b)
63
12
=
3⋅21
3⋅4
=
21
4
c) 20:15→
20
15
=
5⋅4
5⋅3
=
4
3
→ 4: 3
d) 300:450→
300
450
=
3⋅100
3⋅150
=
3⋅50⋅2
3⋅50⋅3
=
2
3
