Equivalent Fractions
Ratios
Unit Rates with Fractions
Proportional Relationships
100
Simplify this Fraction:
8/14
What is 4/7
100
In geometry class, the girl to boy ratio is 9 to 4. If there are 45 girls, how many boys are there?
What is 20 boys
100
Find the unit rates:
4 miles/ 1/4 hour= x miles / 1 hour
What is 16 miles
100
On a graph, the line has to go through what to be proportional?
What is the origin or point 0,0
200
Simplify this Fraction:
32/48
What is 2/3
200
The ratio of the number of girls to the number of boys in a chess club is 3 to 2. There are 14 boys in the chess club, What is the number of girls in the chess club?
What is 21 girls.
200
Find the unit rate:
1/4 feet / 5/6 minutes = x feet / 1 minute
What is 6/20 or 3/10 feet
200
Another name for constant of proportionality is..
What is unit rate
300
Solve for x:
5/8= x/64
What is 40
300
For every 3 chocolate chip cookies that Angel bakes, he bakes 2 oatmeal raisin cookies. Is he bakes 80 oatmeal raisin cookies, how many chocolate chip cookies did he bake?
What is 120 chocolate chip cookies
300
Set up rates then solve:
It takes Daniel 2 1/2 hours to mow 3/4 of his lawn. How long does it take him to mow his entire lawn?
What is 20/6 or 10/3 or 3 1/3 hours.
300
Which machine is a proportional relationship and what is its constant of proportionality?
What is machine Q and a constant of proportionality of 6
400
Solve for x:
16/24= x/27
What is 18
400
The ratio of cats to dogs that are in the shelter is 5 to 3. If there are 48 total animals, how many more are cats?
What is 12 more cats than dogs
400
Josh can walk 4/5 of a mile in 1/6 of an hour. He lives 1 mile away from school. How long will it take him to get to school?
What is 5/24 of an hour
400
What are the three things to remember with proportional relationships?
What is
1. The ratio of y to x is constant through all ordered pairs
2. The graph will pass through the origin (0,0)
3. The equation is linear (a straight line) and can be written in the form of y=mx
500
3/ 1/4= x/1
What is 12
500
For every 4 books that Kenisha reads, she reads 3 magazines. If she read 21 magazines, how many total publications did she read?
What is 49
500
A bus traveled 2/7 of the distance between two cities in 5/6 of an hour. At this rate, how long will it take them reach their destination?
What is 35/12 or 2 11/12 hours
500
Is this a proportional relationship? If yes, what is the constant of proportionality? If no, why not?
What is no because the ratio of y to x is not constant