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
13 feet in 5 steps plss
Mashutka [201]

Answer:

2.6 feet per step

Step-by-step explanation:

8 0
2 years ago
Please answer quickly, thank you for your help
RoseWind [281]

Answer:

-6<x<-9

Step-by-step explanation:

if x+9<0 and 2x>-12

x<-9

x>-6

X is smaller than -9 but greater than -6.

The solution is -6<x<-9

6 0
2 years ago
Read 2 more answers
please help me!!!!!!!!!!!!!
yKpoI14uk [10]
Let x be the length of each row.
Denver can plant 3 rows of a certain length with 2 seedlings leftover.
Total number of seeds he has = 3x+2 Denver can plant 4 rows of the same length with 3 seedling spots left empty.
Total number of seeds he has = 4x-3 Using (i) and (ii), we get= 3x+2=4x-3

Isolate variable terms: 2+3=4x-3
Answer= 5=X
5 0
3 years ago
I scream for ice cream sells specialty ice cream in three​ flavors: rocky​ road, peanut​ butter, and fruity tooty. it sold​ 17,0
oksian1 [2.3K]
---------------------------------------------------------------------
Find Sales Price of 5 gallons of ice-cream:
---------------------------------------------------------------------
Sales price of Fruity Tooty = $6.00
Sales price of Peanut Butter = $5 x 2 = $10.00
Sales price of Rocky Road = $5.25 x 2 = $10.50
Total Sales Per 5 gallon = $6 + $10 + $10.50 = $26.50

---------------------------------------------------------------------
Find Variable Cost of 5 gallons of ice-cream:
---------------------------------------------------------------------
Variable Cost of Fruit Tooty = $5.25
Variable Cost of Peanut Butter = $4.50 x 2 = $9.00
Variable Cost of Rocky Road = $4 x 2 = $8.00
Total Variable Coast = $5.25 + $9 + $8 = $22.25

---------------------------------------------------------------------
Fixed Cost Given:
---------------------------------------------------------------------
Fixed Cost = $7500

---------------------------------------------------------------------
Define x:
---------------------------------------------------------------------
Let x be the number of 5 gallons that need to be sold to breakeven:

---------------------------------------------------------------------
Find x:
---------------------------------------------------------------------
26.50x = 7500 + 22.25x

26.50x - 22.25x = 7500

4.25x = 7500

x = 7500 ÷ 4.25

x = 1764.7 (Nearest tenth)

---------------------------------------------------------------------
Find the number of gallons of ice-cream needed:
---------------------------------------------------------------------
Total number of 5 gallons needed = 1764.7

Total gallons needed = 1764.7 x 5 =8823.5

---------------------------------------------------------------------
Answer: I sceam needs to sell 8823.5 gallons of ice cream to break even.
---------------------------------------------------------------------

8 0
3 years ago
Hi, want to be my friend?
vivado [14]

Answer:

yeah sure

Step-by-step explanation:

because I'm friendly

7 0
3 years ago
Read 2 more answers
Other questions:
  • Pedro is building a playground in the shape of a right triangle he wants to know the area of the playground to help him decide h
    6·1 answer
  • Lorraine invested $5500 in a savings account with a yearly interest rate of 6% for 9 years. How much simple interest did she ear
    15·1 answer
  • How to solve 4x-c=k solve for x
    9·1 answer
  • 1/5(x+2)+2x=6x-10 what does x=
    14·1 answer
  • Suzanne bought 50 apples at the apple orchard. She bought 4 times as many red apples as green apples. How many more red apples t
    10·2 answers
  • Is .07 greater than .007?
    7·1 answer
  • Yuri has 12 counters He put them in 2 equal group How many counters are in each group
    12·1 answer
  • An experiment repeated 5 times is more reliable than an experimment repeated 20 times
    8·1 answer
  • What is the multiplicative rate of change for the
    14·2 answers
  • A moving company makes square boxes with edges each measuring 2 .5 feet. Each moving truck can hold 30 boxes in the trailer. If
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!