The fraction would be 16/20
Answer:
Step-by-step explanation:
111/6 = 37/2
4 1/3 = 13/3
(1)
, and

Subtract this from
to get a remainder of

What we've done here is show that

We can keep going as long as the degree of the remainder's numerator is at least the same as the degree of its denominator.
Next,
, and

Subtract this from the previous remainder to get a new remainder of

which means

Finally,
, and

Subtract this from the previous remainder to get

So we end up with

(the quotient is the expression in the box)
(2) Using the same process as before:
















Answer:
The coordinates of the point P in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:
Step-by-step explanation:
Let P be the point.
As the point P is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6
i.e.
(x₁, y₁) = (-2,-8)
(x₂, y₂) = (5,-1)
Rise = y₂ - y₁ = -1 - (-8) = -1 + 8 = 7
Run = x₂ - x₁ = 5 - (-2) = 5 + 2 = 7
1 : 6 ratio means the point P lies at
Thus,
rise for P = 7 × 14% = 1
run for P = 7 × 14% = 1
Thus, coordinates of P will be:
x = -2 + 1 = -1
y = -8 + 1 = -7
Thus,
The coordinates of the point P in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:
Just isolate y! Since the slope-point formula is y = mx + b, looking at your m determines if it's negative or positive! You can always graph the equation to check, but it's usually easier to look at the formula.