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jeyben [28]
3 years ago
7

PLEASE HELP ME FOR BRAINLIEST Reduce to simplest form. 6/3+(-1/6)

Mathematics
2 answers:
Leni [432]3 years ago
7 0

Answer: 1 5/6, or 11/6, or 1.83333333

Step-by-step explanation:

\frac{6}{3} + -\frac{1}{6}

6/3 is 2.

Thus, the answer is 2 - 1/6 or 1 5/6

castortr0y [4]3 years ago
6 0

Answer:

11/6

Step-by-step explanation:

First, we need to find a common denominator for the 2 fractions.

A common denominator for 3 and 6 is 6.

Let’s get the fraction 6/3 to a denominator of 6.

Multiply by 2/2

6/3 * 2/2

(6*2) / (3*2)

12/6

Now the fractions have common denominators and can be added.

12/6 + (-1/6)

When adding negative fractions, you can simply subtract.

12/6 - 1/6

Subtract across the numerator and leave the denominator as is

11/6

This fraction can be written as: 2 1/6, 11/6, or 1.83333

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3 years ago
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To check for continuity at the edges of each piece, you need to consider the limit as x approaches the edges. For example,

g(x)=\begin{cases}2x+5&\text{for }x\le-3\\x^2-10&\text{for }x>-3\end{cases}

has two pieces, 2x+5 and x^2-10, both of which are continuous by themselves on the provided intervals. In order for g to be continuous everywhere, we need to have

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The limits match, so g is continuous.

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