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3 years ago

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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2. Global Cable paid dividends of $0.28 and $0.16 per share last year. Given yesterday's closing price was $11.27, determine the

Kay [80]

Answer:

3.90%

Step-by-step explanation:

Relevant Data provided as per the question below:

Annual dividend = $0.28 and $0.16

Current per share = $11.27

According to the given situation, the calculation of the current yield of the stock is shown below:-

Current yield is

$= \frac{Annual\ dividend}{Current\ share\ price} \times 100\\\\ = \frac{0.28 + 0.16}{11.27} \times 100$

$= \frac{0.44}{11.27} \times 100$

= 3.90%

Therefore for computing the current yield of the stock we simply applied the above formula.

6 0

3 years ago

Find the constant of proportionality k. Then write an equation for the relationship between x and y

ExtremeBDS [4]

Question:

Find the constant of proportionality k. Then write an equation for the relationship between x and y

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Answer:

(a) $k = 5$

(b) $y = 5x$

Step-by-step explanation:

Given

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Solving (a): The constant of proportionality:

Pick any two corresponding x and y values

$(x_1,y_1) = (2,10)$

$(x_2,y_2) = (6,30)$

The constant of proportionality k is:

$k = \frac{y_2 - y_1}{x_2 - x_1}$

$k = \frac{30-10}{6-2}$

$k = \frac{20}{4}$

$k = 5$

Solving (b): The equation

In (a), we have:

$(x_1,y_1) = (2,10)$

k can also be expressed as:

$k = \frac{y- y_1}{x- x_1}$

Substitute values for x1, y1 and k

$5 = \frac{y- 10}{x- 2}$

Cross multiply:

$y - 10 = 5(x - 2)$

Open bracket

$y - 10 = 5x - 10$

Add 10 to both sides

$y - 10 +10= 5x - 10+10$

$y = 5x$

6 0

3 years ago

David is saving money to buy a game. So far he has saved $30, which is one-third of the total cost of the game. How much does th

vodka [1.7K]

1/3=30
2/3=60
3/3=90
The game costs $90

8 0

2 years ago

Read 2 more answers

Can someone help me in #66

VladimirAG [237]

$\bf log_{{ a}}(xy)\implies log_{{ a}}(x)+log_{{ a}}(y)
\\ \quad \\
% Logarithm of rationals
log_{{ a}}\left( \frac{x}{y}\right)\implies log_{{ a}}(x)-log_{{ a}}(y)
\\ \quad \\
% Logarithm of exponentials
log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)\\\\
-------------------------------\\\\
$

$\bf log_4\left( \cfrac{\sqrt{x^5y^7}}{zw^4} \right)\implies log_4(\sqrt{x^5y^7})-log_4(zw^4)
\\\\\\
log_4\left[(x^5y^7)^{^\frac{1}{2}}\right]-log_4(zw^4)\implies 
\cfrac{1}{2}log_4\left[(x^5y^7)\right]-log_4(zw^4)
\\\\\\
\cfrac{1}{2}\left[ log_4(x^5)+log_4(y^7) \right] -[log_4(z)+log_4(w^4)]
\\\\\\
\cfrac{1}{2}log_4(x^5)+\cfrac{1}{2}log_4(y^7)-[log_4(z)+log_4(w^4)]$

$\bf \cfrac{1}{2}\cdot 5log_4(x)+\cfrac{1}{2}\cdot 7log_4(y)-log_4(z)-4log_4(w)
\\\\\\
\cfrac{5}{2}log_4(x)+\cfrac{7}{2}log_4(y)-log_4(z)-4log_4(w)$

6 0

3 years ago

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BabaBlast [244]

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3 years ago

Read 2 more answers