Add and simplify: 9/16 + 1/2=

1 answer:

7 0

To add and simplify two fractions, we first need to get a common denominator (bottom number).
9/16 + 1/2 --> since 2 goes into 16, we can use 16 for both.
Now since 2×8 = 16, we multiply the top (numerator) by that as well, since they're equal to the same quantity: 1×8 = 8, so we are ready to add our modified fractions: 9/16 + 8/16
Secondly, to add two fractions with a common denominator, we simply add the two numerators, then put them over that common denominator:
9/16 + 8/16 = (9+8)/16 = 17/16
Third step is to simply (or reduce) the fraction into its smallest possible ratio. Here only 1 and 17 are factors of 17, so we cannot reduce it any more. If it were instead, say 18/16, then we could reduce it by 2 to: 9/8
Last step is if the problem asks for a mixed numeral (number), then we would could convert it into: 1 1/16, but usually the improper fraction will do. So our final answer is 17/16.
Hope that helps you for similar problems in the future!

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sphere and a cylinder have the same radius and height. The volume of the cylinder is 54 meters cubed. Amie found the volume of t

Fiesta28 [93]

Answer:

Amie should have multiplied 54 by 2/3

Step-by-step explanation:

The formula of the volume of a sphere is given by

$\frac{4}{3}\pi r^3$ , where r is the radius of the sphere.

to find the volume of the sphere, we must find $r^3$

We know that the formula of a cylinder of height h and radius r is given by

$\pi r^2h$

So $54 = \pi r^2 h$

We know that the sphere and the cylinder have the same height. Recall that the height of the sphere of radius r, is the diameter of a circle that passes through the heighest and lowest points of the sphere. Then, h=2r. This means that

$54 = 2\pi r^3$