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
xeze [42]
3 years ago
13

There exist infinitely many common fractions $\frac{a}{b}$ , where $a > 0$ and $b > 0$ and for which $\frac{3}{5} < \fr

ac{a}{b} < \frac{2}{3}$ . Of these common fractions, which has the smallest denominator? Express your answer as a common fraction.

Mathematics
1 answer:
vredina [299]3 years ago
3 0

Answer:

3/5 has the smallest denominator

Step-by-step explanation:

Question:

There exist infinitely many common fractions a/b , where a > 0 and b > 0 and for which 3/5 < a/b< 2/3. Of these common fractions, which has the smallest denominator? Express your answer as a common fraction.

Solution

A Common fraction is a rational number written in the form: a/b. Where a and b are both integers.

The denominator and numerator in this case are greater than zero. That is, they are non zeros.

The least common denominator (LCD) of two non- zero denominators is the smallest whole number that is divisible by each of the denominators.

To find the smallest denominator between 3/5 and 2/3, we would convert the fractions to equivalent fractions with a common denominator by finding their LCM (lowest common multiple).

When comparing two fractions with like denominators, the larger fraction is the one with the greater numerator and the smaller fraction is one with the smaller numerator.

In our solution after comparing, the smaller fraction would have the smallest denominator.

Find attached the solution.

You might be interested in
1+4=5 2+5=12 3+6=21 8+11=?
g100num [7]
I think the pattern is that you multiply the first number by the second , then add the first number. SO:
e.g. for the first one 1 x 4 = 4 , 4 + 1 = 5
for the second one 2 x 5 = 10, 10 + 2 = 12...
So for 8+11:
you do 8 x 11 = 88 , 88 + 8 = 96
7 0
3 years ago
What is one symbol that is in algebra
daser333 [38]
+,-,=,>,<, and many more, lol i gave more than one :P
7 0
3 years ago
Read 2 more answers
A scuba diver is swimming 15 feet below the water’s surface. The diver swims up slowly at 0.5 feet per second for 4 seconds; and
STatiana [176]
0.5 x 4 = 2 feet / 2 feet in 4 seconds
15 - 2 = 13
New depth: 13 feet

0.4 x 3 = 1.2 feet / 1.2 feet in 3 seconds
13 - 1.2 = 11.8
New depth: 11.8 feet

8 0
3 years ago
Read 2 more answers
What is 105,159 rounded to the nearest ten thousand
ludmilkaskok [199]
The answer will be 100,000 I hoped this helped;)
3 0
3 years ago
Read 2 more answers
I need this answer asappppp
Alex Ar [27]
Ill answer it for you 150 cubic meters
7 0
3 years ago
Read 2 more answers
Other questions:
  • Michael had 4/5 of a spool of yarn. He used 3/5 of it for his project. What fraction of the spool was used for his project?
    7·1 answer
  • PLEASE HELP!!! Will give brainliest!
    12·1 answer
  • Does this table show a proportional relationship? <br>________<br>Yes or No?
    14·2 answers
  • Teesha is in french club. there are 19 students in the club. The french teacher will pick two students at random to guide visiti
    8·1 answer
  • Hi help me please ,,
    11·2 answers
  • Pleaase help with both questions ! PLease explain if you can!
    5·1 answer
  • Joshua orders some drinks for himself and some friends. He orders three cappuccinos, two iced teas, two cafe lattes, and an espr
    6·1 answer
  • Find the relation between x and y if A (1, 3) B (6, 1) is perpendicular to<br> BC, where C = (x, y).
    6·1 answer
  • For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.
    15·1 answer
  • Help asap will give brainliest!!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!