How to reduce fractions

Mathematics

2 answers:

bulgar [2K]3 years ago

6 0

Answer:

To simply or reduce fraction by dividing both the numerator and denominator by a number they are both divisible by.

Example:

3/12 both numbers are divisible by 3 do divide it and it becomes 1/4

Ganezh [65]3 years ago

5 0

Answer:

Step-by-step explanation: To write a fraction in lowest terms, we divide the numerator and the denominator by the greatest common factor of what the numerator is and what the denominator is.

Let's look at an example.

Write the following fraction in lowest terms:

$\frac{2}{8}$

To write 2/8 in lowest terms, we divide the numerator and the denominator by the greatest common factor of 2 and 8.

Since the factors of 2 are 1 and 2 and the factors of 8 are 1, 2, 4, and 8, the greatest common factor of 2 and 8 will be 2.

So we divide the numerator and the denominator of 2/8 by 2.

2 ÷ 2 = 1

8 ÷ 2 = 4

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Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a f

Dima020 [189]

Answer:

The maximum height the ball reaches is 64 feet

Step-by-step explanation:

The given function is f(x) = -16·(x - 2)² + 64

From the equation, the path described by the ball is an inverted n-shaped parabola

The maximum height is therefore, the tip of the parabola

At the maximum height, the slope = 0 because the tip is momentarily flat

Since the slope (y₂ - y₁)/(x₂ - x₁) = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the maximum height

Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64

To check if it is a maximum, we have;

d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope

Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0

64 = 32·x

x = 64/32 = 2 seconds

We now have the x-value at the slope, the f(x) value, is therefore;

f(2) = -16·(2 - 2)² + 64 = 64 feet

Therefore, the maximum height the ball reaches is 64 feet.

3 0

3 years ago

George wants to invest $20,000 One investment pays interest at a rate of 18 2/3% while another pays interest at a rate of 0.1872