Ask question

Ask question

All categories

3 years ago

9

Simplify this complex fraction 1 2/3 divided by 2 1/9

1 answer:

horsena [70]3 years ago

5 0

Answer:

$\frac{5}{3} \times\frac{9}{19}$

Step-by-step explanation:

In order to simplify this equation you need to convert these whole number fractions into improper fractions and then use KCF. (Keep, Change, Flip)

$1\frac{2}{3} \div2\frac{1}{9}$

Convert into improper fractions:

$1\frac{2}{3} = 3\times1+2=\frac{5}{3}$

$2\frac{1}{9} =9\times2+1=\frac{19}{9}$

(Remember to keep the denominators the same)

$\frac{5}{3} \div\frac{19}{9}$

Now use KCF

$\frac{5}{3} \div\frac{19}{9} = \frac{5}{3} \times\frac{9}{19}$

$= \frac{5}{3} \times\frac{9}{19}$

Hope this helps.

You might be interested in

AE and DF are parallel. If √ABG = 11x and m_HCF = 10x + 9, what is m√ABG? 102° 99° 81° 9°

katrin [286]

Answer:

81

Step-by-step explanation:

6 0

3 years ago

Scott and Letitia are brother and sister. After dinner, they have to do the dishes, with one washing and the other drying. They

ehidna [41]

Answer:

The probability that Scott will wash is 2.5

Step-by-step explanation:

Given

Let the events be: P = Purple and G = Green

$P = 2$

$G = 3$

Required

The probability of Scott washing the dishes

If Scott washes the dishes, then it means he picks two spoons of the same color handle.

So, we have to calculate the probability of picking the same handle. i.e.

$P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)$

This gives:

$P(G_1\ and\ G_2) = P(G_1) * P(G_2)$

$P(G_1\ and\ G_2) = \frac{n(G)}{Total} * \frac{n(G)-1}{Total - 1}$

$P(G_1\ and\ G_2) = \frac{3}{5} * \frac{3-1}{5- 1}$

$P(G_1\ and\ G_2) = \frac{3}{5} * \frac{2}{4}$

$P(G_1\ and\ G_2) = \frac{3}{10}$

$P(P_1\ and\ P_2) = P(P_1) * P(P_2)$

$P(P_1\ and\ P_2) = \frac{n(P)}{Total} * \frac{n(P)-1}{Total - 1}$

$P(P_1\ and\ P_2) = \frac{2}{5} * \frac{2-1}{5- 1}$

$P(P_1\ and\ P_2) = \frac{2}{5} * \frac{1}{4}$

$P(P_1\ and\ P_2) = \frac{1}{10}$

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

So, we have:

$P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)$

$P(Same) = \frac{3}{10} + \frac{1}{10}$

$P(Same) = \frac{3+1}{10}$

$P(Same) = \frac{4}{10}$

$P(Same) = \frac{2}{5}$

8 0

3 years ago

What is the domain of the function y= square root x - 5 - 1

IrinaK [193]

Answer:

$x\geq 5$

Step-by-step explanation:

The function that we have to study in this problem is

$y=\sqrt{x-5}-1$

The domain of a function is defined as the set of all the possible values of x that the function can take.

For a square-root function, there are some limitations to the possible value of the argument in the root.

In particular, the argument of a square root must be equal or greater than zero, because the square root of a negative number is not defined.

Therefore, in this case, we have to set the following condition for the domain:

$x-5\geq 0$

And by solving, we get

$x\geq 5$

which means that the domain of this function is all real numbers equal or greater than 5.

5 0

4 years ago

504 rounded to the nearest ten is?

Lesechka [4]

The answer would be 500

4 0

3 years ago

Read 2 more answers

A medication states that the odds of having an allergic reaction are 1 in 50. What is that probability states as a percent?

kicyunya [14]

Answer: 2%, second option is correct.

Step-by-step explanation:

To state 1/50 in percent, divide 1 by 50, then multiply by 100

=( 1 ÷ 50) x 100

= 0.02 x 100

= 2%

I hope this helps, please mark as brainliest.

5 0

4 years ago