Answer:
1. 5 miles
2. 5 4/12 cups
3. 9/16 gallons
4. 45.7 km/h
5. 18.7 m/h
Step-by-step explanation:
For the first one, she jogs 1/2 miles in 1/10 of an hour. So to get an hour you can do the reciprocal of 1/10 to get 1
1/10 * 10/1 = 1 hour
Now you have to do that to the miles as well.
1/2 * 10/1
1 * 10 = 10
2 * 1 = 2
10/2
5 miles
So she jogged 5 miles in 1 hour
For the second one, 8 3/4 cups of milk for 3 1/3 cups of cereal. You need 1 cup though.
So to find 1 cup you have to get a common denominator first.
1/3
3/4
A common factor is 12. multiply 4 for both the top and the bottom for 1/3 and 3 to top and bottom for 3/4. What's done to the top must be done to the bottom as well.
1/3 *4/4 = 4/12
3/4 * 3/3 = 9/12
8 4/12 and 3 9/12 is what you have now.
You only need 1 cup so you can subtract 2 9/12 to both.
8 4/12 - 2 9/12 = 5 4/12
3 9/12 - 2 9/12 = 1
So 1 cup of oatmeal uses 5 4/12 cups of milk.
For the third one, 3/16 gallons of water for 1/3 feet of garden.
You need to find that for 1 foot so it be similar to the first one.
Use reciprocal on 1/3 to get that 1 foot you need.
1/3 * 3/1 = 1
What you do to one you have to do to the other.
3/16 * 3/1 = 9/16
You can't simplify it so that's its simplest form.
S 1 foot of garden uses 9/16 gallons of water.
Numero four. This one seems hard but really all you have to do is divide km by h.
822.6 km/ 18 h
45.7 km/h
Last one, once again all you have to do is divide m by h to get m/h.
768.57m/41.1h
18.7 m/h
And thats it! I hope this helps you and if you ever need any more help, don't be afraid to reach out.