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
AVprozaik [17]
2 years ago
10

What is the gcf of 3/7 and 4/9?

Mathematics
1 answer:
LiRa [457]2 years ago
3 0

Answer:

  1/63

Step-by-step explanation:

There are a couple of ways to do this.

<h3>1) </h3>

Look for the GCF of the numerators when a common denominator is used.

  GCF(3/7, 4/9) = GCF(27/63, 28/63) = (1/63)·GCF(27, 28)

  GCF(3/7, 4/9) = 1/63

__

<h3>2) </h3>

Use Euclid's algorithm. If the remainder from division of the larger by the smaller is zero, then the smaller is the GCF; otherwise, the remainder replaces the larger, and the algorithm repeats.

  (4/9)/(3/7) = 1 remainder 1/63*

  (3/7)/(1/63) = 27 remainder 0

The GCF is 1/63.

__

* The quotient is 28/27 = 1 +1/27 = 1 +(1/27)(3/7)/(3/7) = 1 +(1/63)/(3/7) or 1 with a remainder of 1/63.

_____

<em>Additional comment</em>

3/7 = (1/63) × 27

4/9 = (1/63) × 28

You might be interested in
What is 3 3/4 + 2 1/2
Nadya [2.5K]
6 1/4 :) Is this correct?

5 0
2 years ago
Read 2 more answers
The height of the sail on a boat is 7 feet less than 3 times the length of its base. If the
xxTIMURxx [149]

Answer:

Base=8 feet

Height=17 feet

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Using quadratic formula

x= -b +or- √b^2 - 4ac / 2a

= -(-7) +or- √(-7)^2 - (4)(3)(-136) / 2(3)

= 7 +or- √49 - (-1632) / 6

= 7 +or- √49+1632) / 6

= 7 +or- √1681 / 6

=7 +or- 41 /6

x= 7+41 / 6 or 7-41 / 6

=48/6 or -34/6

=8 or -17/3

Answer:

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Base of the boat can't be a negative value

Therefore,

Base = x = 8 feet

Height= 3x-7

=3(8)-7

=24-7

=17 feet

3 0
2 years ago
What is -5(7x + 2) =200
blondinia [14]
Your answer is going to be X=-6

3 0
3 years ago
Read 2 more answers
Jensen is building a snow fort. Each block in the fort weighs about 1 kilogram. Jensen hopes to make about 40 blocks for the for
babymother [125]

Answer: 13,333 snowflakes

Step-by-step explanation:

For this exercise let be "x" represents the number of snowflakes that will be in the fort.

According to the information given in the exercise, the weight of one block is 1 kilogram. Knowing that the fort must have 40 blocks, the total weight is:

total\ weight=(1\ g)(40)\\\\total\ weight=40\ g

 Since each snowflake weighs 3* 10^{-3} grams, need to divide the total weight calculated above by the weight of a snowfake.

Therefore, through this procedure you get the following result:

x=\frac{40\ grams}{3 * 10 ^{-3}\ grams}\\\\x\approx13,333

Therefore, the there will be 13,333 snowflakes in the fort.

5 0
3 years ago
Mr. Cole is putting hardwood flooring in the area of his house shown at the Wright. He is also putting crown molding around the
Leokris [45]

Answer:

are there any numbers?

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • According to a study conducted by the Gallup Organization, the the proportion of Americans who are afraid to fly is 0.10. A rand
    6·1 answer
  • Please explain how I find the "product" of 21.33 and 2.04?
    15·2 answers
  • Please help thanks very much
    5·1 answer
  • Please Explain/Show your work!
    5·1 answer
  • Allen has four times as many cards as Bob, and Jane has twice as many cards as Allen. Together, Allen and Jane have 468 cards. H
    14·2 answers
  • Graph the equation.<br> y= 3 | x | + 3
    11·1 answer
  • What kind of toy are used to build 3 dimensionality models
    15·1 answer
  • .The measures of the angles of a triangle are in the extended ratio 6: 1: 5. What is the measure of the largest angle?​
    8·1 answer
  • Hayden has 7 shells . Elly has 5 fewer shells than Hayden . Beth has 2 shells . How many shells do they have in all?
    6·1 answer
  • How do I graph the system of equations?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!