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
vivado [14]
3 years ago
11

When the smaller of two fractions is divided by the larger, the result is 7/9. Of the smaller is 8/3, find the larger.

Mathematics
1 answer:
raketka [301]3 years ago
3 0

Answer:

Larger fraction = 24/7

Step-by-step explanation:

Given that:

Smaller fraction = 8/3

Larger fraction = ?

Let the larger fraction is x/y then according to the statement:

8/3 / x/y = 7/9

Rule: When there is a fraction in the denominator of a fraction, the lower fraction is reversed and multiplied with the upper one.

So, according to rule:

8/3 * y/x = 7/9

8y/ 3x = 7/9      

Now multiplying both sides by 3/8 we get

8y/ 3x * 3/8 = 7/9 *3/8

After cancellation:

y/x = 21/ 72

By reducing it to lowest form (dividing both by 3)

We ge:

y / x = 7/ 24

This means y= 7

                   x = 24

So the larger fraction will become: x/y =24/7      

  • Proof:

Smaller fraction / Larger fraction = 7/9

8/3 / 24/7 = 7/9

Applying Rule:

8/3 * 7/24 = 7/9

56/ 72 = 7/9

Reducing it to lowest fraction: (dividing both by 8)

7/9 = 7/9

Hence proved

I hope it will help you!

You might be interested in
Which choice is equivalent to the expression below?
Andre45 [30]

<u>Answer:</u>

C. 4\sqrt{7} -4x\sqrt{7} is correct

<u>Steps</u><u>:</u>

4\sqrt{7} -3\sqrt{7}x-x\sqrt{7} \\\\4\sqrt{7} -3\sqrt{7} x-\sqrt{7} x\\\\4\sqrt{7} +(-3\sqrt{7} x-\sqrt{7} x)\\\\4\sqrt{7} -4\sqrt{7} x

7 0
3 years ago
Read 2 more answers
How do you find the ratio of 2:5...
LuckyWell [14K]

Answer:

total number of parts of a 2:5 ratio are 7 as 2+5 = 7

let us assume are number to be 49

the first part will be 49/7 × 2 = 14

the second part will be 49/7 × 5 = 35

4 0
3 years ago
PLEASE ANSWER THE BLANKS PLEASE AND USE AN ANSWER FROM THE PARENTHESES BESIDE THE QUESTION, I'M GIVING BRAINLIEST IF YOU ANSWER
sleet_krkn [62]

Answer 1a 18 1b 36 1c 648

1a : if you look at the shape you will see its made of squares. I counted the squares, its 18.

1b : one side is 6 in. since its a square all sides are equal. so multiply 6 by 6 to get 36.

1c : this one is easy. We take the number of squares across the surface (18) by the area of each square (36) it is 648.

Also sorry I didn't make this clearer earlier.

5 0
2 years ago
Which fractions have an LCD of 30?
Mandarinka [93]

Answer:

1/5   1/6    1/15

hope this helps :)

3 0
2 years ago
Which point approximates √30? A) A B) B C) C D) D
Paha777 [63]
Letter D

Hope this helps
3 0
2 years ago
Read 2 more answers
Other questions:
  • Terry sees this offer. 35% off refurbished phone, now only £78. What was the orginal price?
    6·1 answer
  • Help a girl out ?? i'm confused as to solve this
    8·1 answer
  • What is the solution set?<br><br> A.) (0, -2)<br> B.) (2, 0)<br> C.) (7, 0)<br> D.) (5, 3)
    12·1 answer
  • Help anybody has an answered for this?
    9·1 answer
  • 3/5 (10+5x)−1/3(6x+3)=9 ok answer fast
    11·1 answer
  • Explain why this works please.<br><br> 2 4 8 16 32 64 128
    10·1 answer
  • What is the value of (2/3)^-4?
    7·1 answer
  • What is 15% of £19.00
    11·1 answer
  • Solve for y Y/3 + 25 = 31
    10·1 answer
  • Which of these tables represent a function
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!