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
laila [671]
4 years ago
15

Subtract, write your answer as a mixed number in simplest form 6 1/6 - 3 1/4

Mathematics
2 answers:
anastassius [24]4 years ago
7 0
\large\begin{array}{l} \mathsf{6\,\dfrac{1}{6}-3\,\dfrac{1}{4}}\\\\ =\mathsf{\left(6+\dfrac{1}{6}\right)-\left(3+\dfrac{1}{4}\right)}\\\\ =\mathsf{\left(\dfrac{6\cdot 6}{6}+\dfrac{1}{6}\right)-\left(\dfrac{4\cdot 3}{4}+\dfrac{1}{4}\right)}\\\\ =\mathsf{\left(\dfrac{36}{6}+\dfrac{1}{6}\right)-\left(\dfrac{12}{4}+\dfrac{1}{4}\right)}\\\\ =\mathsf{\dfrac{36+1}{6}-\dfrac{12+1}{4}} \end{array}

\large\begin{array}{l} =\mathsf{\dfrac{37}{6}-\dfrac{13}{4}\qquad(i)} \end{array}


\large\begin{array}{l} \textsf{The LCM of 6 and 4 is 12. Now rewrite those fractions}\\\textsf{properly, so that its denominators are the same:}\\\\ =\mathsf{\dfrac{37}{6}\cdot\dfrac{2}{2}-\dfrac{13}{4}\cdot \dfrac{3}{3}}\\\\ =\mathsf{\dfrac{37\cdot 2}{6\cdot 2}-\dfrac{13\cdot 3}{4\cdot 3}}\\\\ =\mathsf{\dfrac{74}{12}-\dfrac{39}{12}}\\\\ =\mathsf{\dfrac{74-39}{12}}\\\\ =\mathsf{\dfrac{35}{12}} \end{array}


\large\begin{array}{l} \textsf{Writing the result in the mixed form:}\\\\ =\mathsf{\dfrac{24+11}{12}}\\\\ =\mathsf{\dfrac{24}{12}+\dfrac{11}{12}}\\\\ =\mathsf{\dfrac{2\cdot \diagup\!\!\!\!\! 12}{\diagup\!\!\!\!\! 12}+\dfrac{11}{12}}\\\\ =\mathsf{2+\dfrac{11}{12}}\\\\ =\mathsf{2\,\dfrac{11}{12}}\qquad\quad\checkmark \end{array}


\large\textsf{which already is in its simplest form.}


If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2171283


\large\textsf{I hope it helps. :-)}


Tags: <em>fraction mixed form subtract rational arithmetic</em>

krok68 [10]4 years ago
3 0
The answer is 35/12 and simplify that and u get 2 11/12.

To show my work apparently since the mods wont stop deleting my answers, here.

 I first found a common denominator and use it to rewrite each fraction. Then I, subtracted the whole numbers and fractions separately.
You might be interested in
beyonce michelle and kelly shared a carton of soft drink containing 2 dozen cans. Beyonce takes 3/8 Michelle takes 5/12 and kell
Shalnov [3]
Beyonce gets 9 cans worth, Michelle drinks 10 cans worth of soft drink and kelly receives 5 cans worth.

Dozen = 12 so 2 dozens = 12x2=24 

3/8 = 9/24 because 8x3=24 & 3x3=9
5/12 =10/24 because 12x2=24 & 5x2=10
5/24 is fine because it is already out of 24

5 0
3 years ago
Find the gain percent in the following:<br>Cost Price Rs 280,<br>(a) Selling Price<br>Rs 290​
Nikolay [14]

Answer:

3.57

Step-by-step explanation:

P=SP -CP

=290-280=10

P%=\frac{P*100}{CP}

=\frac{10*100}{280}

=\frac{1000}{280}

=3.57

4 0
4 years ago
Kevin has $50 and wants to buy some art paper and paints. One pack of art paper costs $12, and the paints cost $6 per tube. He b
lara [203]

Answer:  4

Step-by-step explanation:

2(12) + 6n ≥ 50

24 + 6n ≥ 50

6n ≥ 26

  n ≈ 4

The maximum number of tubes of paint that Kevin can buy is 4.

4 0
3 years ago
Read 2 more answers
Explain how the following equations are similar or different<br> Y=3x2 and y=3•2x
BigorU [14]

Answer:

bahw1jnajw21q894j281833837747474748281813

6 0
3 years ago
Read 2 more answers
Please help will give medal!!!!
shepuryov [24]
If you are given with all the tree sides of the triangle, you may solve for all the angles through the Law of Cosines,
                           c² = a² + b² - 2ab(cos C)
where angle C is the angle opposite the side c. You may use the same equation to get the values of the remaining angle. Additionally, if you already have one known angle, you can solve for the rest of the angles by Law of Sines,
                                   a / sin A = b / sin B = c / sin C
7 0
4 years ago
Other questions:
  • How much alfalfa does Helmut need to add to 30L of ostrich pellets to make a feed mix that is 40% alfalfa by volume?
    11·1 answer
  • GET POINTS (Look in the link)GET POINTS
    13·1 answer
  • Describe how to find the least common multiple of three numbers. Give an example.
    8·1 answer
  • Enrollment in a business class decreased from 25 to 15 students. What was the percent of decrease in enrollment?
    13·2 answers
  • Please help me i will give you brainlyest
    6·1 answer
  • What is the scale factor of this dilation?<br><br> A 1/5<br><br> B 1/2<br><br> C 1<br><br> D 2
    8·2 answers
  • Find the y-intercept of the line on the graph. ​
    7·1 answer
  • Triangle ABC is the image of Triangle DEF under a dilation such that AB=3/4 DE. Which of the following best describes Triangles
    14·1 answer
  • 1, 3/5, 9/25<br><br> Find the 8th term.
    7·1 answer
  • Choose the equation that satisfies the data in the table
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!