A mixed number of the form
can be turned into an improper fraction by using the fact that a mixed number is really het whole number plus its fraction part, so

Then do the usual procedure for adding fractions via common denominator.
For example, to convert the mixed number
into an improper fraction, we have

To add
, we need
to have a denominator of 4, so we multiply the numerator and denominator by 4 to get

Therefore,

Answer:
Step-by-step explanation:
x
=
−
7
4
Decimal Form:
x
=
−
1.75
Mixed Number Form:
x
=
−
1
3
4
Answer: 12 21
Step-by-step explanation:
Answer:
Base = 10 cm
Height = 60 cm
Step-by-step explanation:
The formula for the area of a triangle is
, where <em>b</em> is the length of the base of the triangle, and <em>h</em> is the length of the height of the triangle.
We know the area is 300, and since the height of the triangle is 6 times its base, we know that
. We can plug in these values into our formula for the area of a triangle, which gives us the following equation to solve:



The base of the triangle is 10 centimeters.
Now that we know the base of the triangle, we can plug its value in to the original formula to solve for the height of the triangle, which gives us the following equation:



The height of the triangle is 60 centimeters.
height of pyramid = 3*(V/A)
V=48in^3
A=24in^2
So 3*(48/24) = 3*2=6