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
lyudmila [28]
2 years ago
14

The sum of the numerator and the denominator of the certain fraction is equal to 4,140. When the fraction was reduced, the resul

t was 7 13 . What was the original fraction?
Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
3 0

Answer:

1449/2691

Step-by-step explanation:

We must start from the fraction that is 7/13. Now, we know that it was simplified, with trial and error we can reach the result.

First, let's multiply both by 200:

7 * 200 = 1400

13 * 200 = 2600

1400 + 2600 = 4000

It means that we are missing 140, to reach the objective, that is, we are close, let's try 205 now:

7 * 205 = 1435

13 * 205 = 2665

1435 + 2665 = 4100

We get even closer, only 40 missing, let's try 207 below:

7 * 205 = 1449

13 * 205 = 2691

1449 + 2691 = 4140

We managed to get to the corresponding numbers, therefore the original fraction was 1449/2691

You might be interested in
A survey of 140 freshmen business students at a local university produced the results listed below. How many students took only
Hunter-Best [27]
15

A total of 39 took psychology. 12 of those took that and science and another 10 of those took that and history. 2 people took all three. 12+10+2 = 24 students who took psychology along with another class. To find the number of students who took ONLY psychology, you would take 39 and subtract 24, which leaves you with 15.
8 0
2 years ago
Darcy harvest 8 3/4 acres of corn every 5/6 of an hour. How many acres per hour?
otez555 [7]

Answer:

The answer is 10\frac{1}{2}\ per\ hour.

Step-by-step explanation:

Given:

Darcy harvest 8 3/4 acres of corn every 5/6 of an hour.

Now, to find the acres per hour it takes to harvest.

Darcy harvest = 8\frac{3}{4}=\frac{35}{4}\ acres.

The time he took to harvest = \frac{5}{6}\ hour.

So, to get the acres per hour we put formula:

Distance = \frac{35}{4}\ acres.

Time=\frac{5}{6}\ hour.

Speed=\frac{distance}{time}

Speed=\frac{\frac{35}{4}}{\frac{5}{6}}

Speed=\frac{35}{4}\times \frac{6}{5}

Speed=\frac{210}{20}

Speed=\frac{21}{2}

Speed=10\frac{1}{2}\ per\ hour.

Therefore, the answer is 10\frac{1}{2}\ per\ hour.

3 0
3 years ago
Apple sent a survey to some of their customers. Some people were sent the survey but did not finish it. What is the fewest numbe
Andrej [43]

Answer:

117

Step-by-step explanation:

since it's exactly 93.6%, it means it must be more than 100people as it can't be 93.6people/100people as a person cannot be less than 1. the lowest possible number of people therefore can only be 117/125people as when converted to a fraction, 93.6% = 93.6/100 but no decimals are allowed in fractions so 936/1000 and when reduced/simplified, we get 117/125 hence the answer is 117.

Topic: percentage-fraction conversion

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

5 0
3 years ago
Plz help me my maths hw is due in a couple of hrs!!!
Hatshy [7]
The answers are in the picture
Have agreat day

7 0
2 years ago
What is the approximate circumference of a circle with a diameter of 500 kilometers? Use π ≈ 3.14.. . A.. 785 kilometers. . B..
Anestetic [448]
3.14×500= 1570 kilometers
8 0
3 years ago
Read 2 more answers
Other questions:
  • If 200% of 40% of x is equal to 40% of y, then x is what percent of y?
    5·1 answer
  • What is the solution the system 8y=-40? ( , )
    12·1 answer
  • if Ms mary has 1 8/9 quarts .She drinks 1 3/9 quarts over the course of a week.How much orange juice​
    6·1 answer
  • (X-2)^2 if necessary combine like terms
    5·1 answer
  • The width of the rectangle is 5x-4. The length of the rectangle is 5
    6·1 answer
  • Line a: y= x-6<br> Line B = y= 3x+4<br> Which of the following shows the solution
    13·1 answer
  • What is the total length of her route? Round to the nearest hundredth. (1 mile = 5,280 feet) I NEED THIS NOW PLSSSS
    15·2 answers
  • The ratio of one side of ACDE to the corresponding side of a similar AFGH IS 2:5. The perimeter of A CDEIS 9.2 inches.
    12·2 answers
  • Given the two points write the equation for the line in slope intercept
    10·1 answer
  • Someone plss helP TYSM IF U DO:)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!