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How do you simplify #1+1/4+2/3#?

Answer 1

Gianna Caruso

#1+1/4+2/3=23/12=1 11/12#

As GCD of the denominators #1#, #3# and #4# is #12#. Hence

#1+1/4+2/3#

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

= #(1xx12)/(1xx12)+(1xx3)/(4xx3)+(2xx4)/(3xx4)#

= #12/12+3/12+8/12#

= #(12+3+8)/12=23/12#

We can also write it as #1+3/12+8/12=1+(3+8)/12=1 11/12#

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Answer 2

Cameron Arnold

To simplify (1 + \frac{1}{4} + \frac{2}{3}), you need to find a common denominator for the fractions. The common denominator for (4) and (3) is (12). Then, convert each fraction to have a denominator of (12). (1) can be written as (\frac{12}{12}), (\frac{1}{4}) can be written as (\frac{3}{12}), and (\frac{2}{3}) can be written as (\frac{8}{12}). Finally, add the fractions together:

[ 1 + \frac{1}{4} + \frac{2}{3} = \frac{12}{12} + \frac{3}{12} + \frac{8}{12} = \frac{12 + 3 + 8}{12} = \frac{23}{12} ]

So, (1 + \frac{1}{4} + \frac{2}{3}) simplifies to (\frac{23}{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.