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
OlgaM077 [116]
3 years ago
12

When you multiply 2/3 by a fraction less than one, how does the product compare to the factors. Explain.

Mathematics
2 answers:
pychu [463]3 years ago
8 0
The product is less than either of the factors. Multiplying a number < 1 with 2/3 another number < 1, will give a fraction of a fraction, and part of a fraction is an even smaller fraction. Another way of looking at it: Fractions less than one have numerators smaller than their denominators. When multiplying fractions, you multiply across, so multiplying two fractions that are both less than one will always give a numerator much smaller than the denominator, and a larger denominator makes for a smaller number. I hope this helps, but if you have questions, ask.
Leno4ka [110]3 years ago
8 0

Answer: the product is smallr than either of the factors.

Explanation:

1) Start seing some examples:

i) 2/3 × 1/2 = 1/3, which is less than 2/3 and less than 1/2

ii) 2/3 × 8/9 = 16 / 27, which is less than 2/3 and less than 8/9

iii) 2/3 × 1/10 = 2/30, which is less than 2/3 and less than 1/10.

2) Why does that happen?

Because 2/3 is a number less than 1, such as any proper fraction is. And, whenever a number is multiplied by a number less than 1, the result is a smaller number.

Then, since 2/3 is less than 1, the product will be less than the other fraction. And since the other fraction is less than 1 too, the product will also be less than 2/3.

Hence, you conclude that the product is a number smaller than 2/3 and than the other fraction, i.e. smaller than either of the factors.

You might be interested in
The force F between 2 objects is inversely proportional to the square of the distance, d between them. The force is 0.36 newtons
LenaWriter [7]

Answer:

0.73 N to 2 dp.

Step-by-step explanation:

F = k/d^2   where k is a constant , F = force and d = distance.

Substituting:

0.36 = k / (6)^2

k = 36*0.36 = 12.96 s the equation is F = 12.96 / d^2.

When d = 4.2 :

F = 12.96 / 4.2^2

F = 0.73 Newtons to 2 dp.

5 0
3 years ago
Describe the error in finding the median of the data.
damaskus [11]
The error is that the numbers are not in order from least to greatest.
To find the median of data you need to first put the numbers in order from least to greatest.
3 0
2 years ago
Read 2 more answers
For which value of b can the expression x2 + bx + 18 be factored?
WINSTONCH [101]

An expression is defined as a set of numbers, variables, and mathematical operations. The value of b for which the expression x² + bx + 18 can be factored is 9.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of b for which the given expression x² + bx + 18 can be factored is 9. This will make the expression factored as (x+3) and (x+6).

Thus, the value of b for which the expression x² + bx + 18 can be factored is 9.

Learn more about Expression:

brainly.com/question/13947055

#SPJ1

6 0
2 years ago
Why do you need to calculate mean, or modo of a set of data?
goldfiish [28.3K]
To find the average of the data
3 0
2 years ago
tickets for a high school foot football game were $8 for adults and $5 for students. a total of 1970 tickets were sold. The tota
SCORPION-xisa [38]
S(5)+A(8)=12220 is the answer
6 0
2 years ago
Other questions:
  • The number of bags of mulch you need to cover a planting area varies jointly with the area to be mulched (a) in sq ft and the de
    13·1 answer
  • What is the solution of the system of equations?<br><br> y=56x+1<br> −x+y=2
    11·1 answer
  • If x=2 and y=5 what is the value of 2x/y​
    10·1 answer
  • The triangles shown are similar. Find MV.
    15·1 answer
  • 2/3 of the pens in a box are blue. 1.2 of them are black. The rest of them are red. There are 36 more blue pens than red pens. H
    15·2 answers
  • What is the slope of the line shown below?
    14·1 answer
  • The mayor of a town believes that over 47G% of the residents favor construction of an adjoining community. Is there sufficient e
    7·1 answer
  • Can someone explain why everytime it rounds up to the thousands it doesnt keep the 4th number, it looks like it goes up by one,
    5·1 answer
  • What do I do with the “y = -f(x) +6” given to find the Domain and Range?
    7·2 answers
  • An account has a rate of 1.9%. Find the effective annual yield if the interest is compounded quarterly.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!