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
Alejandra drove from Michigan to Colorado to visit her friend. The speed limit on the highway is 70 miles/hour. If Alejandra’s c
vova2212 [387]

Answer:

Alexandra drove 980 miles

Step-by-step explanation:

70×14=980

6 0
2 years ago
Can somebody help me. i don't know if these are right or wrong. If they're wrong can you please correct me? appreciate it​
notsponge [240]

Step-by-step explanation:

it is right

all are right

3 0
2 years ago
Read 2 more answers
F(x) = x2 + 1<br> g(x) = 5 – x
xz_007 [3.2K]

Answer:

g(x) = 5 – x

Step-by-step explanation:

7 0
2 years ago
Would you rather have 15/20 of a pizza or 24/32 of a pizza? Really, it wouldn’t matter because both of those fractions are equiv
lana66690 [7]

Answer:

I think all of these are optional answers

Step-by-step explanation:

7 0
3 years ago
Mr. Yueng graded his students’ math quizzes.
zubka84 [21]

Answer:

7.3*

Step-by-step explanation:

do the inverse:

22/3=7.3*

*=recurring

5 0
2 years ago
Other questions:
  • Which is bigger, 80% of 150 or 3/4 of 200
    12·2 answers
  • All three medians intersect at the point of concurrency what’s it called
    7·1 answer
  • The perimeter of an equilateral triangle is given as 15x +21.find the greatest common factor
    7·1 answer
  • If g(x)=x² – 5x + 3, find g(-2).
    6·1 answer
  • Use the given sets to find (A U B) nC.
    5·1 answer
  • Help please thanks show work
    7·1 answer
  • If you've driven at a consistent speed of 60 mph how much would you have traveled in 2 hours?
    5·2 answers
  • Find the absolute value of |-3+8i|​
    8·2 answers
  • I need help and i also need the work shown...please and thank you
    14·2 answers
  • Angles of triangle sand explain how u got each question and answer pls ! ((:
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!