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What is the simplified value of #3/12 - 1/8 + 5/6# ?

Answer 1

#3/12-1/8+5/6=23/24#

To simplify #3/12-1/8+5/6#, we need to bring them to common .denominator. As the Least Common Denominator of #{12,8, 6}# is #24#. doing so we get

#3/12-1/8+5/6#

= #(3xx2)/(2xx12)-(1xx3)/(8xx3)+(5xx4)/(6xx4)#

= #6/24-3/24+20/24#

= #(6-3+20)/24#

= #23/24#

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Answer 2

Levi Adams

To find the simplified value of the expression ( \frac{3}{12} - \frac{1}{8} + \frac{5}{6} ), we first need to find a common denominator for all the fractions. The least common multiple (LCM) of 12, 8, and 6 is 24.

Now, we'll rewrite each fraction with the common denominator of 24:

[ \frac{3}{12} = \frac{3 \times 2}{12 \times 2} = \frac{6}{24} ] [ \frac{1}{8} = \frac{1 \times 3}{8 \times 3} = \frac{3}{24} ] [ \frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} ]

Now, we can rewrite the expression with the common denominator:

[ \frac{6}{24} - \frac{3}{24} + \frac{20}{24} ]

Combining the fractions:

[ \frac{6 - 3 + 20}{24} = \frac{23}{24} ]

So, the simplified value of ( \frac{3}{12} - \frac{1}{8} + \frac{5}{6} ) is ( \frac{23}{24} ).

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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.