Answer:
9/12
Step-by-step explanation:
First you multiply 3x12 which equal 36 then you divide 36 by 4 which equal 9 so your answer is 9/12
Answer:
Step-by-step explanation:
In order to convert the standard form equation we are given now into slope-intercept form, we need to get y on one side by itself and solve for y.
Work.
2x+3y=6
-3y -3y
2x=6-3y
-6 -6
2x-6=-3y
/-3 /3
-2/3x+2=y
y=-2/3x+2
Now that it is in slope intercept form, we can identify the y intercept and slope.
y-int=(0,2), slope=-2/3
I would graph the line by first plotting the y-intercept at the point (0,2). From there, I would plot the slope by going down 2 blocks and moving 3 blocks to the right. Then I would connect the two points with a ruler to get my line since you only need two points to create a line.
Answer:
Larger fraction = 24/7
Step-by-step explanation:
Given that:
Smaller fraction = 8/3
Larger fraction = ?
Let the larger fraction is x/y then according to the statement:
8/3 / x/y = 7/9
Rule: When there is a fraction in the denominator of a fraction, the lower fraction is reversed and multiplied with the upper one.
So, according to rule:
8/3 * y/x = 7/9
8y/ 3x = 7/9
Now multiplying both sides by 3/8 we get
8y/ 3x * 3/8 = 7/9 *3/8
After cancellation:
y/x = 21/ 72
By reducing it to lowest form (dividing both by 3)
We ge:
y / x = 7/ 24
This means y= 7
x = 24
So the larger fraction will become: x/y =24/7
Smaller fraction / Larger fraction = 7/9
8/3 / 24/7 = 7/9
Applying Rule:
8/3 * 7/24 = 7/9
56/ 72 = 7/9
Reducing it to lowest fraction: (dividing both by 8)
7/9 = 7/9
Hence proved
I hope it will help you!