Answer:
I hope it gets easier for you :)
Answer:
The slope of this line is <u>1/5</u>
Step-by-step explanation:
You can find the answer easily by graphing the problem. In doing so, you will find the slope (rise over run) to be one over five. This is because you rise one unit, and run five.
<h2>
Hello!</h2>
The answers are:
A.
and ![\frac{10}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B12%7D)
D.
and ![1\frac{5}{7}](https://tex.z-dn.net/?f=1%5Cfrac%7B5%7D%7B7%7D)
<h2>
Why?</h2>
To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.
We are given two fractions that are like fractions. Those fractions are:
Option A.
and ![\frac{10}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B12%7D)
We have that:
![\frac{10}{12}=\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B12%7D%3D%5Cfrac%7B5%7D%7B6%7D)
So, we have that the pairs of numbers
and
![\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D)
Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.
Option D.
and ![1\frac{5}{7}](https://tex.z-dn.net/?f=1%5Cfrac%7B5%7D%7B7%7D)
We have that:
![1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}](https://tex.z-dn.net/?f=1%5Cfrac%7B5%7D%7B7%7D%3D1%2B%5Cfrac%7B5%7D%7B7%7D%3D%5Cfrac%7B7%2B5%7D%7B7%7D%3D%5Cfrac%7B12%7D%7B7%7D)
So, we have that the pair of numbers
and
![\frac{12}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B7%7D)
Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.
Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.
The other options are:
![\frac{3}{2},\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%2C%5Cfrac%7B2%7D%7B3%7D)
and
![3\frac{1}{2},4\frac{4}{4}](https://tex.z-dn.net/?f=3%5Cfrac%7B1%7D%7B2%7D%2C4%5Cfrac%7B4%7D%7B4%7D)
We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.
Hence, the answers are:
A.
and ![\frac{10}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B12%7D)
D.
and ![1\frac{5}{7}](https://tex.z-dn.net/?f=1%5Cfrac%7B5%7D%7B7%7D)
Have a nice day!
Answer:
131
Step-by-step explanation: