Is 7/12 bigger than 1/2

2 answers:

7 0

Lets think of it this way:-

1/2 is one half

Whats half of 12? 6

Now, 7 is greater than 6, which means the fraction 7/12 is greater than 1/2

Answer: 7/12 is bigger

Viktor [21]4 years ago

3 0

To check that 7/12 is greater than 1/2 we will convert them to decimal.
To convert fraction to decimal we have to divide them.
7/12 = 0.58 = ~0.6 ( rounded to tenth )
1/2 = 0.5

So now we know that 0.6 is greater than 0.5
therefore, 7/12 is BIGGER than 1/2

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X-2
--------- greater than or equal to 6
2(x+3)

First, clear out the fraction. Mult. both sides of this inequality by 2(x+3):

x-2 greater than or equal to 6(2)(x+3)

x-2 greater than or equal to 12x + 36 becomes

-38 greater than or equal to 11x

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check: try x = -44/11 = -4 (this is smaller than -38/11)

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x-2
--------- greater than or equal to 6
2(x+3)

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-4-2
--------- greater than or equal to 6
2(-4+3)

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-6
---- = 3. Is this greater than or equal to 6? No.
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0-2
--------- greater than or equal to 6
2(0+3)

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---- = -1/3. Unfortunately, this is not greater than or equal to 6.
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Thus, this tentative solution fails.

Trying again:

x-2
--------- greater than or equal to 6
2x + 6

Multiply both sides by 2x+6: x-2 is greater than or equal to 6(2x+6)

Then x-2 is greater than or equal to 12x + 36

Add 2 to both sides: x is gr. than or = to 12x + 38

Subtr. 38 from both sides: -38 + x is gr than or equal to 12x, or

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