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Morgarella [4.7K]
2 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]2 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]2 years ago
4 0

Answer:

41/28 = 1 (13/28)

Step-by-step explanation:

gotta make the denominators the same.

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3 years ago
The coach recorded how fast his runners ran 1 mile. Emmett ran a mile in 9.73 minutes Kate ran a mile in 10.87 minutes how many
igor_vitrenko [27]

Complete Question

The coach recorded how fast his runners ran 1 mile. Emmett ran a mile in 9.73 minutes, Kate ran a mile in 10.87 minutes, and Rubin ran a mile in 8.46 minutes. How many more minutes did Emmett run than Robin?

a. 1.37 minutes

b. 1.27 minutes

c. 2.27 minutes

d. 1.27 seconds

Answer:

1.27 minutes

Step-by-step explanation:

Emmett ran a mile in 9.73 minutes

Kate ran a mile in 10.87 minutes

Rubin ran a mile in 8.46 minutes.

How many more minutes did Emmett run than Robin?

This is calculated as:

Number of minutes Emmett ran - Number of minutes Rubin ran

= 9.73 minute - 8.46 minutes

= 1.27 minutes

Option b is correct

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X+1<br> -<br> and h(x) = 4 - X, what is the value<br> Oil CD<br> Nior<br> wla<br> olo
timofeeve [1]

Answer:

8/5

Step-by-step explanation:

(g\circ h)(-3) means g(h(-3)).

Start with the inside first: h(-3).

h(-3) means use the function called h and replace the x with -3.  The expression that is called h is 4-x.

4-x evaluated at x=-3 gives us 4-(-3)=4+3=7.

So the value for h(-3) is 7, or h(-3)=7.

Now this is what we thus far:

(g\circ h)(-3)=g(h(-3))=g(7).

g(7) means use the function called g and replace x with 7.   The expression that is called g is (x+1)/(x-2).

(x+1)/(x-2) evaluated at x=7 gives us (7+1)/(7-2)=(8)/(5)=8/5.

This is our final answer:

(g\circ h)(-3)=g(h(-3))=g(7)=\frac{8}{5}.

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2 years ago
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erastovalidia [21]

Answer:

2(x - 4) = 16

8 0
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