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

Answer 1

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

To simplify #1/2+2/3+3/4#, we can add them if the denominators are common. Now as LCD of the denominators #2#, #3# and #4# is #12#

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

#=(1/2xx1)+(2/3xx1)+(3/4xx1)#

= #(1xx6)/(2xx6)+(2xx4)/(3xx4)+(3xx3)/(4xx3)#

= #6/12+8/12+9/12#

= #(6+8+9)/12#

= #23/12# or #((12+11)/12)# or #(12/12+11/12)# or #1 11/12#

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Answer 2

Nova Allen

To simplify the expression 1/2 + 2/3 + 3/4, we need to find a common denominator for all the fractions. The least common denominator (LCD) for 2, 3, and 4 is 12.

Now, we can rewrite each fraction with the denominator of 12:

1/2 = 6/12 (multiply numerator and denominator by 6) 2/3 = 8/12 (multiply numerator and denominator by 4) 3/4 = 9/12 (multiply numerator and denominator by 3)

Now, we have:

1/2 + 2/3 + 3/4 = 6/12 + 8/12 + 9/12

Now, we can add the fractions:

6/12 + 8/12 + 9/12 = (6 + 8 + 9)/12 = 23/12

Therefore, the simplified form of 1/2 + 2/3 + 3/4 is 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.