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antoniya [11.8K]
4 years ago
11

Simplify a)3/7×28/15÷14/5 b)7/8+1/16-1/12

Mathematics
1 answer:
netineya [11]4 years ago
5 0

Answer:

a)2/7

b)41/48

<em />

<em>Step-by-step explanation:</em>

<u>-Question A-</u>

1) Rephrase the problem to look like this:

3/7*28/15*5/14 <-- when dividing fractions you actually multiply by the reciprocal (opposite)

2) Multiply across the above phrase:

420/1470

3) Simplify your fraction:

2/7

There is nothing else to be done with 2/7 and thus it is your final answer.

<u></u>

<u>-Question B-</u>

1) Get the denominator of all 3 fractions to the same Least Common Denominator (48):

42/48 + 3/48 - 4/48

2) Do the arithmetic in the phrase above:

41/48

41/48 cannot be simplified and thus is your final answer

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hichkok12 [17]

Answer:

<h2>x = 2 </h2><h2>y = - 3</h2><h2>z = - 2</h2>

Step-by-step explanation:

6y - 5z = -8 .......... Equation 1

3z = -6 ................... Equation 2

4x - 3y - 2z= 21...... Equation 3

<u>First solve for z in Equation 2</u>

That's

3z = - 6

Divide both sides by 3

<h3>z = - 2</h3>

Next substitute the value of z into Equation 1 in order to find y

We have

6y - 5(-2) = - 8

6y + 10 = - 8

6y = - 8 - 10

6y = - 18

Divide both sides by 6

<h3>y = - 3</h3>

Finally substitute the values of y and z into Equation 3 to find the value of x

That's

4x - 3(-3) - 2(-2) = 21

4x + 9 + 4 = 21

4x + 13 = 21

4x = 21 - 13

4x = 8

Divide both sides by 4

<h3>x = 2</h3>

So the solutions are

<h3>x = 2 </h3><h3>y = - 3</h3><h3>z = - 2</h3>

Hope this helps you

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