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
MaRussiya [10]
3 years ago
14

There are 5 parts to this question. a. b. c. d. and e. Please be sure to label and answer all 5 parts in the space below please

:)

Mathematics
1 answer:
dexar [7]3 years ago
5 0
A.
4 x \frac{1}{2}
When multiplying a whole number by a fraction, simply multiply the whole number by the numerator (number on the top of the fraction bar). The denominator (number on the bottom of the reaction bar) will stay the same.

For 4 x \frac{1}{2}, you would multiply 4 x 1 = 4 as the numerator and keep 2 as the denominator. Your answer would be \frac{4}{2}. This is an improper fraction because the numerator is larger than the denominator. To change this, divide the numerator by the denominator (4 ÷ 2 = 2). This answer becomes your whole number. 
4 x \frac{1}{2} = 2

\frac{1}{2} x \frac{3}{4}
When multiplying a fraction by another fraction, multiply both numerators of the fractions to get the new numerator. Then, multiply the denominators of the fractions to get the new denominator. Simplify if needed.
\frac{1}{2} x \frac{3}{4} = \frac{1 x 3}{2 x 4} = 
\frac{3}{8}. There is no simplifying to do here, so your answer of \frac{1}{2} x \frac{3}{4} is \frac{3}{8} [/tex].\\ [tex] \frac{3}{4} x \frac{1}{3}
Same steps as we did for the last one. Multiply the numerators together to get the new numerator and denominators together to get the new denominator. 

\frac{3}{4} x \frac{1}{3} = \frac{3 x 1}{4 x 3} = 
\frac{3}{12}. Reduce this fraction by dividing the numerator and denominator by 3 to get an answer for \frac{3}{4} x \frac{1}{3} of \frac{1}{4} [/tex].  b. When you multiply any number by a fraction that's smaller than one, the product will be less than the original number (as you can see for the first problem in question A). \\c. To divide a fraction by another one, change the problem to multiplication and multiply the two fractions.\\d. 4 ÷[tex] \frac{1}{2}
Dividing a whole number by a fraction is the same as dividing two fractions. First, let's flip (invert) the fraction, then multiply. Whole numbers can be written as fractions by making its denominator a 1. For your problem, we'll change the whole number 4 to a fraction: \frac{4}{1}, then flip (invert) the second fraction so we can multiply it. Now we have:

\frac{4}{1} x \frac{2}{1}. Same as above, multiply the numerators to get the new numerator and denominators to get a new denominator.

\frac{4 x 2}{1 x 1} = \frac{8}{1}. 4 ÷\frac{1}{2} = 8

\frac{1}{2} ÷ \frac{3}{4} 
To divide a fraction by a fraction, start by flipping the second fraction (the one you want to divide by). Then multiply as you did in the previous questions and simplify if needed.

Flip second fraction: \frac{1}{2} x \frac{4}{3}
Multiply numerators together and denominators together: \frac{1 x 4}{2 x 3}
Now we have \frac{4}{6}. Simplify by dividing the numerator and denominator by 2. \frac{1}{2} ÷ \frac{3}{4} equals \frac{2}{3}.

\frac{3}{4} ÷ \frac{1}{3}
Same as we did with the last problem!

Flip the second fraction: \frac{3}{4} x \frac{3}{1}
Multiply the numerators and denominators: \frac{3 x 3}{4 x 1}
Now we have \frac{9}{4}, which we can't leave as an improper fraction so let's change it to a mixed number like we did in part A. Divide the denominator by the numerator (9 ÷ 4 = 2r1). 2 becomes our whole number, the remainder 1 becomes the new numerator and the denominator stays the same to become the answer 2. \frac{3}{4} ÷ \frac{1}{3} equals 2[tex] \frac{1}{4} [/tex]. 

e. 
When dividing a number by a fraction, the quotient will be greater than the original number.
You might be interested in
Using the picture below, which angle is alternate interior to angle 5?
oee [108]

Answer:

angle 4

Step-by-step explanation:

Angle 4 is the opposite of angle 5, if you flip the paper upside down, you'll see that it is the same

7 0
2 years ago
Read 2 more answers
Solve by using related function 1/2x^2 -2=0
Thepotemich [5.8K]

Answer:

1/2x^2-2=0

-

-

-

-

x=2,-2

4 0
3 years ago
Titus is asked to prove hexagon FEDCBA is congruent to hexagon
Goshia [24]

Answer:

<u><em>(x, y) -------> ( - x , y - 10 )</em></u>

Step-by-step explanation:

Titus is not correct.

There are two transformations will correctly prove FEDCBA ≅ F'E'D'C'B'A'

First transformation is Reflection over y-axis , then translation 10 units down.

The final formula is <em>( - x , y - 10 )</em>

5 0
2 years ago
Your father is planning to cook for 35 people using a recipe that specifies two and a half cups of sugar for each six people,
almond37 [142]

Your father will require 14.6 cups of sugar for the larger group

<h3>Ratio and proportions</h3>

From the question, we have that 2.5 cups of sugar can be used to make recipes for 6 people that is;

6 people = 2.5 cups of sugar

In order to calculate for 35 people, we will have;

35 people  = x

Taking the ratio of the expressions

6/35 = 2.5/x

6x = 87.5

x = 87.5/6

x = 14.6

Hence your father will require 14.6 cups of sugar for the larger group

Learn more on ratio and proportions here: brainly.com/question/19994681

3 0
2 years ago
I need help in not sure how to write a standard equation :(
adell [148]
Look at your picture

notice the coordinates for the center of the circle, the x,y or h,k values
notice how long the radius is

thus \bf \qquad \textit{equation of a circle}&#10;\\\\\\&#10;&#10;(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2&#10;\qquad center\ ({{ h}},{{ k}})\qquad&#10;radius={{ r}}
3 0
3 years ago
Other questions:
  • Which of the following describes a net of the prism
    15·2 answers
  • (2 fiths) to the -2nd power btw, how can i use the camra in this app
    14·1 answer
  • What is the radius of a circle with circumference 56 in?
    8·1 answer
  • What are the coordinates of the point LaTeX: \frac{3}{4}\:3 4of the way from A to B? coordinate plane with line segment AB. Poin
    10·1 answer
  • What is the slope of the line shown below
    10·2 answers
  • Line AB is parallel to line CD. Which statement is true?
    8·2 answers
  • Yolanda receives a $1,000 dollar raise each year from her starting salary of $40,800.
    15·1 answer
  • Can someone help with question #4 please
    6·1 answer
  • A girl plays the same computer game lots of times.
    7·1 answer
  • a six sided number cube has faces with the numbers 1 through 6 marked on them. what is the probability that a number less than 3
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!