Answer:
The GCF for the variable part is
k
Step-by-step explanation:
Since
18
k
,
15
k
3
contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.
Steps to find the GCF for
18
k
,
15
k
3
:
1. Find the GCF for the numerical part
18
,
15
2. Find the GCF for the variable part
k
1
,
k
3
3. Multiply the values together
Find the common factors for the numerical part:
18
,
15
The factors for
18
are
1
,
2
,
3
,
6
,
9
,
18
.
Tap for more steps...
1
,
2
,
3
,
6
,
9
,
18
The factors for
15
are
1
,
3
,
5
,
15
.
Tap for more steps...
1
,
3
,
5
,
15
List all the factors for
18
,
15
to find the common factors.
18
:
1
,
2
,
3
,
6
,
9
,
18
15
:
1
,
3
,
5
,
15
The common factors for
18
,
15
are
1
,
3
.
1
,
3
The GCF for the numerical part is
3
.
GCF
Numerical
=
3
Next, find the common factors for the variable part:
k
,
k
3
The factor for
k
1
is
k
itself.
k
The factors for
k
3
are
k
⋅
k
⋅
k
.
k
⋅
k
⋅
k
List all the factors for
k
1
,
k
3
to find the common factors.
k
1
=
k
k
3
=
k
⋅
k
⋅
k
The common factor for the variables
k
1
,
k
3
is
k
.
k
The GCF for the variable part is
k
.
GCF
Variable
=
k
Multiply the GCF of the numerical part
3
and the GCF of the variable part
k
.
3
k
Answer:
16/9
Step-by-step explanation:
(4/3) ^2
(4/3) * (4/3)
First the numerators
4*4 = 16
Then the denominators
3*3 = 9
Numerator over denominator
16/9
In order to add or subtract fractions, they must have the
same denominator. You need to change both of these
fractions to have the same denominator ... without changing
their values, of course.
The smallest common denominator for these fractions is 20 .
3/4 is the same amount as 15/20 .
3/5 is the same amount as 12/20 .
Now that they have the same denominator, you can do
the subtraction.
Answer:
see explanation
Step-by-step explanation:
Given a line joining the midpoints of 2 sides of a triangle, the midsegment
Then the midsegment is parallel to and half the measure of the third side of the triangle, thus
XY = 2KL = 2 × 42 = 84
Since J is the midpoint of XY, then
JY = 0.5XY = 0.5 × 84 = 42 and
JK = 0.5YZ = 0.5 × 76 = 38
