Answer:
A
Step-by-step explanation:
If Henry has 20 socks and he split them into a group of 5, he would have 4 socks in each group. To solve this equation you must divide the number of socks by the number of groups. Once you do this, you will get the number of socks in each group.
What’s the question? I think your table is already completed
Answer:
14,112 mile/year
Step-by-step explanation:
169344÷12 = 14,112 mile/year
Answer: ![6\frac{1}{12}\ gallons](https://tex.z-dn.net/?f=6%5Cfrac%7B1%7D%7B12%7D%5C%20gallons)
Step-by-step explanation:
We can make the conversion from mixed numbers to improper fractions:
- Multiply the whole number part by the denominator of the fraction.
- Add the numerator of the fraction and the product obtained (This sum will be the new numerator).
- The denominator is the same.
Then:
![2\frac{1}{4}=\frac{(2*4)+1}{4}=\frac{9}{4}\\\\3\frac{5}{6}=\frac{(6*3)+5}{6}=\frac{23}{6}](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B%282%2A4%29%2B1%7D%7B4%7D%3D%5Cfrac%7B9%7D%7B4%7D%5C%5C%5C%5C3%5Cfrac%7B5%7D%7B6%7D%3D%5Cfrac%7B%286%2A3%29%2B5%7D%7B6%7D%3D%5Cfrac%7B23%7D%7B6%7D)
We need to add the fractions in order to calculate the amount of paint Darren bought. Since the denominators are differente, we must find the Least Common Denominator (LCD):
![4=2*2=2^2\\\\6=2*3\\\\\\LCD=2^2*3=12](https://tex.z-dn.net/?f=4%3D2%2A2%3D2%5E2%5C%5C%5C%5C6%3D2%2A3%5C%5C%5C%5C%5C%5CLCD%3D2%5E2%2A3%3D12)
Then:
![\frac{9}{4}+\frac{23}{6}=\frac{27+46}{12}=\frac{73}{12}\ gallons](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B4%7D%2B%5Cfrac%7B23%7D%7B6%7D%3D%5Cfrac%7B27%2B46%7D%7B12%7D%3D%5Cfrac%7B73%7D%7B12%7D%5C%20gallons)
To convert this improper fraction to a mixed number:
- When you divide 73 by 12 you get a quotient of 6. This will be the whole number.
- The remainder obtained is 1. This will be the numerator of the fraction.
- The denominator does not change.
Then:
![\frac{73}{12}\ gallons=6\frac{1}{12}\ gallons](https://tex.z-dn.net/?f=%5Cfrac%7B73%7D%7B12%7D%5C%20gallons%3D6%5Cfrac%7B1%7D%7B12%7D%5C%20gallons)