Conditional Probability:

Please help. I got the 12 part can’t can’t seem to simplify the fraction bit.

Sati [7]

<h3>Answer: D) 12 & 3/8</h3>

Whole part = 12

Fractional part = 3/8

==============================================

Explanation:

For now, let's just focus on the fractional parts of each mixed number.

We have these fractions:

1/4
4/16
3/8
1/2

The 4/16 reduces to 1/4, so 4/16 = 1/4

So in reality, we have these fractional parts.

1/4
1/4
3/8
1/2

It's not a typo that I'm listing "1/4" twice.

The next step is to get everything to have the same denominator. That denominator is 8 (aka the LCD)

1/4 = 2/8
1/4 = 2/8
3/8 = 3/8
1/2 = 4/8

Adding those new fractions gets us:

(2/8)+(2/8)+(3/8)+(4/8) = (2+2+3+4)/8 = 11/8

Rewrite that as a mixed number

11/8 = (8+3)/8

11/8 = (8/8) + (3/8)

11/8 = 1 + 3/8

11/8 = 1 & 3/8

We get the result 1 & 3/8, where 1 is the whole part and 3/8 is the fractional part.

Keep in mind that all we've done so far is add up the fractional parts. We were ignoring the whole parts from each original mixed number.

If we add the whole parts (3,2,1,5) we get 3+2+1+5 = 11, which adds onto the previous whole part of 1 to get 12. So that's where the 12 comes from.

The fractional part 3/8 comes along for the ride to get 12 & 3/8 as the final answer, which is choice D.

-----------------

An alternative route you can take is to convert each original mixed number into an improper fraction, then add those improper fractions (don't forget to get the LCD), and lastly convert the result to a mixed number.

5 0

2 years ago

Is 4/5 the multiple of 1/4? explain

Crazy boy [7]

4/5 is NOT a multiple of 1/4 because the denominators are not divisible by each other.

3 0

2 years ago

Read 2 more answers

There is $500 in Holly's bank account. She takes out $50 from her account each month but doesn't put money back in. What is the

galina1969 [7]

Answer:

The rate of change or slope m = -50

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the rate of change or slope

b is the y-intercept

Given that there is $500 in Holly's bank account.

Thus, the y-intercept b = 500

It is stated that she takes out $50 from her account each month but doesn't put money back in.

It means the rate of change or slope is decreasing.

Thus, the rate of change or slope m = -50

<u>EXTRA BONUS!</u>

We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form

$y = mx+b$

y = -50x + 500

Here:

The slope m = -50

The y-intercept = 500

3 0

2 years ago

What is -7 + -9 A. -16 B. -2 C. 2 D. 16

nataly862011 [7]

Answer:

is A. -16

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Simplify the expression -2/3 divided by 3 3/4

Vitek1552 [10]

Answer:

-8/45

I hope this helped!

Step-by-step explanation:

-2/3 ÷ 3 3/4

3 0

3 years ago