1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hoochie [10]
3 years ago
11

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

Mathematics
1 answer:
Sati [7]3 years ago
5 0
<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.

You might be interested in
Jack buys a pair of shoes for $52 and pays $2.60 sales tax. How much sales tax will his friend pay if his friend purchases a shi
gogolik [260]
To answer this you would divide 52 by 2.60 which is 20,
So, 28 / 20 = 1.40,

So the answer is $140 sales tax.

Hope this helps.

6 0
3 years ago
A rubber ball is bounced from a height of 9 meters and bounces continuously .Each successive bounce reaches a height that is a t
klio [65]

Answer: 54

Step-by-step explanation: If the ball bounces 3 times at first that would be 9 x 3 which equals 27. But if you bounce it 6 times, that would be 9 x 6 which equals 54. :)

8 0
2 years ago
Hershel’s bakery sells donuts by the box there are d donuts in each box Beverly is going to buy 10 boxes for a class trip. Which
Dmitry [639]

A. 10 x <em>d</em>

<em>Explanation </em><em>:</em><em> </em>

1 box has <em>d</em><em> </em>donuts. So that equation would be 1 x d. 10 boxes has <em>d</em> donuts. So that equation would be 10 x d.

6 0
3 years ago
Read 2 more answers
A circular running track is į mile long. Jackie runs on this track, completing each lap in as of
Alisiya [41]

Answer: its 1 mile per hour

Step-by-step explanation:

she went around the mile long circle in one hour

5 0
3 years ago
Read 2 more answers
Helene invested a total of $1,000 in two simple-interest bank accounts. One account paid 5% annual interest; the other paid 8% a
crimeas [40]

a  =  total amount invested at 5%

b = total amount invested at 8%

we know 5% was earned in interest from "a", so that'd be (5/100) * a or 0.05a.

we know 8% was earned in interest from "b", so that'd be (8/100) * a or 0.08b.

we also know that the total for both is 1000, a + b = 100.

\begin{cases} a + b = 1000\\ 0.05a+0.08b=65 \end{cases}\qquad \qquad \stackrel{\textit{since we know}}{a+b=1000}\implies b = 1000-a \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.05a+0.08(100-a)=65}\implies 0.05a+80-0.08a=65 \\\\\\ -0.03a+80=65\implies -0.03a=-15\implies a=\cfrac{-15}{-0.03}\implies \boxed{a = 500} \\\\\\ \stackrel{\textit{we know that}}{b = 1000-a}\implies b=1000-500\implies \boxed{b = 500}

7 0
2 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP! ITS DUE TONIGHT
    12·1 answer
  • Two supplementary angles are congruent. Which equation gives the measure in degrees, d, of each angle?
    8·1 answer
  • (−7c+8d)0.6 distributive property
    10·2 answers
  • I need help on number 1 c I'm stuck
    7·1 answer
  • Choose a number between 67 and 113 that is a multiple of 2 6 and 10
    7·2 answers
  • The blue line and the yellow line trains just arrived at the station.
    5·1 answer
  • Mitchell and his friends went to the candy store, where they can buy candy by the pound. Mitchell bought 1.2 pounds of candy. Hi
    9·2 answers
  • How do I do this problem?
    14·2 answers
  • Gregory is saving money to buy an anniversary present for his parents he found a website that will do it for $87.50 he earned $5
    11·2 answers
  • A circle has its centre at the origin and has a radius of 5.<br>What is its equation?​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!