What is #1/3+ 3/4+ 1/2#?

Answer 1

#1/3 + 3/4 + 1/2 = 19/12#

To add proper fractions, we need to first make their denominator identical. This can be done in one step, but to demonstrate, we will add the fractions one by one.

First, we add #1/3# and #3/4#. To do so, we need them to have a common denominator. Therefore, we will find a common multiple of 3 and 4. That would be #3xx4 = 12#. You can easily verify that #12# must have both #3# and #4# as factors. So,
#1/3 + 3/4 = (1xx4)/(3xx4) + (3xx3)/(4xx3)#
#= 4/12 + 9/12#
#= (4+9)/12#
#= 13/12#
Next, we add #1/2# to #13/12#. Again, we need a common denominator. That would be #2xx12 = 24#. You can verify that 24 has both #12# and #2# as factors. However, the number #12# has also both #12# and #2# as factors.

It is easier to deal with smaller numbers, so we use 12 instead of 24.

#13/12 + 1/2 = 13/12 + (1xx6)/(2xx6)#
#= 13/12 + 6/12#
#= (13 + 6)/12#
#= 19/12#

Therefore,

#1/3 + 3/4 + 1/2 = 19/12#
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Answer 2

To add fractions with different denominators, you need to find a common denominator. In this case, the common denominator is 12. So, you convert each fraction to have a denominator of 12:

1/3 = 4/12 3/4 = 9/12 1/2 = 6/12

Now, add the numerators:

4/12 + 9/12 + 6/12 = (4 + 9 + 6)/12 = 19/12

Therefore, 1/3 + 3/4 + 1/2 = 19/12.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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