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
Morgarella [4.7K]
3 years ago
8

Add 1/4 + 5/14 +6/7 Simplify the answer and write it as a mixed number.​

Mathematics
2 answers:
zhannawk [14.2K]3 years ago
4 0

Answer:

\frac{41}{28} = 1\frac{13}{28}

Step-by-step explanation:

In order to add fractions, the denominators must all be the same value (the lowest common denominator). The <em>lowest common denominator</em> is the smallest value that all of the given denominators (in this case, the denominators are 4, 14, and 7) can divide into.

Here, the smallest number that all three of the given denominators can perfectly divide into is 28:

28 ÷ 4 = 7

28 ÷ 14 = 2

28 ÷ 7 = 4

<em>Therefore, our lowest common denominator is 28.</em>

<em />

The next step is to change our numerators to match our lowest common denominator. To do this, we have to multiply the numerator by the same value that we would need to multiple the denominator by in order to get our lowest common denominator.

For our first term of 1/4, we need to multiply our denominator (4) by 7 in order to get our lowest common denominator of 28. So, we need to also multiply our numerator by 7:

\frac{1}{4} × \frac{7}{7} = \frac{7}{28}

<em>Therefore, our first term becomes </em>\frac{7}{28}<em>.</em>

For our second term of 5/14, we need to multiply our denominator (14) by 2. So, we need to also multiply our numerator by 2:

\frac{5}{14} × \frac{2}{2} = \frac{10}{28}

<em>Therefore, our second term becomes </em>\frac{10}{28}<em>.</em>

For our third term of 6/7, we need to multiply our denominator (7) by 4. So, we need to also multiply our numerator by 4:

\frac{6}{7} × \frac{4}{4} = \frac{24}{28}

<em>Therefore, our third term becomes </em>\frac{24}{28}<em>.</em>

Now that they all have the same denominator, we simply have to add all three together:

\frac{7}{28} + \frac{10}{28}<em> </em>+<em> </em>\frac{24}{28}<em> </em>= \frac{41}{28}

When we simplify this into a mixed number, we get:

\frac{41}{28} = 1\frac{13}{28}

<em />

icang [17]3 years ago
4 0

Answer:

41/28 = 1 (13/28)

Step-by-step explanation:

gotta make the denominators the same.

You might be interested in
Let
kow [346]

Answer:

can write it again soon as you can do it again

6 0
3 years ago
Hi please help with this question ???):
maw [93]
The answer to your question is -19
7 0
2 years ago
Read 2 more answers
Help me w this pls pls pls
patriot [66]

Answer:

48

Step-by-step explanation:

2500 - 196 = x^{2}

x = 48

Please mark as brainliest for future answers :)

8 0
2 years ago
3. 152.64 + 123 +0.024
AnnZ [28]

Answer:

i got 275.664

Step-by-step explanation:

8 0
3 years ago
Complete the statement with equal to greater than or less than 5/5 * 2 3/4​
Westkost [7]

5/5*2 3/4 > 2 3/4

hope this helps :)

3 0
3 years ago
Other questions:
  • A surveyor wants to find the height of a building. at a point 109.0 ft from the base of the building he sights to the top of the
    9·1 answer
  • How much is 12 ft by 14 ft in square feet
    13·2 answers
  • The sum of the roots of the quadratic 5x^2 - 6x + 1 = 0 is
    7·1 answer
  • Suppose Larry has 16 books and Pat has x books. (Larry still has at least 3 more than Pat.)
    15·1 answer
  • Which expression represents 6 more then x
    11·1 answer
  • Un mecánico tiene un conjunto de 20 llaves. La medida de la llave más grande es 3/4 pulgada, mientras que la llave mas pequeña e
    8·1 answer
  • Avion drinks water at every meal.At breakfast, he drinks 237 ML. At lunch he drinks 300 ML, and at dinner he drinks 177 ML Estim
    14·1 answer
  • I need a good answer and an explanation, please
    15·1 answer
  • HELPPP PLZZZZ ASAP IS PLEASEEE DONT SEND A FILE AT ALL
    5·1 answer
  • The graph represents two complex numbers, z1 and z2, as solid line vectors. Which points represent their complex conjugates?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!