All categories

3 years ago

Why is it important to be able to write a fraction is simplest form?

Mathematics

2 answers:

MrRa [10]3 years ago

7 0

It's important because you want to get the lowest fraction as possible when you do fractions;)

ziro4ka [17]3 years ago

6 0

Being able to write fractions in simplest form can make operations much easier. Also, to compare fractions, some may have to be in the simplest form.

You might be interested in

The width of a rectangle is 5n - 3.5 feet and the length is 3.5n + 9 feet. Find the perimeter of the rectangle.

juin [17]

Answer:

17n+11

Step-by-step explanation:

Formula For Perimeter Of Rectangle: 2(Length) + 2(Width)

Length = 3.5n + 9

Width = 5n - 3.5

____________________________________________________

-> 2(Length) + 2(Width)

-> 2(3.5n+9) + 2(5n-3.5)

*distribute*

-> (7n+18) + (10n-7)

*distribute*

->7n+18+10n-7

->17n-11

7 0

3 years ago

PLEASE HELPPPPP!!!!!!!!!!!!!!! SHOW WORK

larisa [96]

Answer:

17. A. 180 in²
18. B. 234 in²

Step-by-step explanation:

#17

Total surface area is:

A = 8(3*2 + 6*2) + 2(3*6) = 180 in²

Correct option is A

#18

Total surface area is:

A = 2(9*9) + 4(2*9) = 234 in²

Correct option is B

5 0

3 years ago

Evaluate the expression, using the given value of the variable.

Bond [772]

$4-2x+5x=\ \ \ \ | grouping\ numbers\\\\
4+3x\ \ \ \ | substitute\ x=4\\\\
4+3*4=4+12=16\\\\
Answer\ is\ C.$

8 0

3 years ago

In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces

nadya68 [22]

Answer:

a) 0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less

b) 0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours

c) 0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours

d) 86 should have a battery life of at least 9 hours.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

The probability of being higher than x is:

$P(X > x) = \frac{b - x}{b-a}$

The probability of being between c and d is:

$P(c \leq X \leq d) = \frac{d-c}{b-a}$

Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

This means that $a = 8.5, b = 12$

a. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?

$P(X \leq x) = \frac{x - a}{b-a}$

$P(X \leq 10) = \frac{10 - 8.5}{12 - 8.5} = 0.4286$

0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less.

b. What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?

$P(X > x) = \frac{b - x}{b-a}$

$P(X > 11) = \frac{12 - 11}{12 - 8.5} = 0.2857$

0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours

c. What is the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours (to 4 decimals)?

$P(c \leq X \leq d) = \frac{d-c}{b-a}$

$P(9.5 \leq X \leq 11.5) = \frac{11.5 - 9.5}{12 - 8.5} = 0.5714$

0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours.

d. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)?

Proportion of iPad Minis with a battery life of at least 9 hours.

$P(X > 11) = \frac{12 - 9}{12 - 8.5} = 0.8571$

Out of 100:

0.8571*100 = 85.71

To the nearest whole number

86 should have a battery life of at least 9 hours.

5 0

2 years ago

Is this expression fully simplified? Explain 4x2 + 10 - x - 6x3

tankabanditka [31]

Answer:

-x

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers