Simplifying Ratios
Simplify the following ratio into simplest terms.
5/10
1/2
1:3
1/3
If there are 3 feet in every yard, find common units for the given ratio and rewrite the ratio with those units.
2 yards:5 feet
6 feet:5 feet
Solve for x using cross multiplication.
x/3=2/6
x=1
~
Simplify the following ratio into simplest terms.
6:9
Rewrite the following ratio to analogy form.
10/7
10:7
If there are 1000mg for every g, rewrite the following ratio to have common units.
3200mg/5g
3200mg/5000mg
Solve for y using cross multiplication.
2/y=10/15
y=3
If two triangle 1 has angles A, B, and C and triangle 2 has angles D, E, and F, write a correct similarity statement.
ABC~DEF
Simplify the following ratio into simplest terms.
15 to 10
3 to 2
Rewrite the following ratio to word form.
9:26
9 to 26
If there are 12 inches for every 1 foot, rewrite the following ratio to have common units.
4 feet to 35 inches
48 inches to 35 inches
Solve for y using cross multiplication.
(y+1)/10=8/20
y=3
For two polygons to be similar, you need to have all corresponding angles congruent and all corresponding sides __________________.
Proportional
Simplify the following ratio into simplest terms.
10/70
1/7
Rewrite the following ratio to analogy form.
x to 4
x:4
If there 4 cups for every 1 quart, rewrite the following ratio to have common units.
3 quarts:15 cups
12 cups:15 cups
Solve for x using cross multiplication.
12/(x+4)=4/5
x=11
What is the scale factor of a pair of triangles who sides have the following proportion?
5/10=20/40=50/100
1/2
Simplify the following ratio into simplest terms.
17:51
1:3
Rewrite the following ratio to fraction form.
(x-7):(y+6)
(x-7)/(y+6)
If there are 16 ounces for every 1lb, rewrite the following ratio to have common units.
.5lbs/23 ounces
8 ounces/ 23 ounces
solve for t using cross multiplication.
(t-1)/7=(t+2)/14
t=4
If a triangle AB:BC:CD has a ratio of 2:3:4 for its sides, and side AB=4 and side BC=x, solve for x.
x=6