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Simplify to the lowest terms:

[tex]\[ \frac{10}{50} = \][/tex]

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this is no mathe question. it cant be simplified

prove that the matrix A =
[tex]$ \begin{pmatrix}
1 & 2 \\
3 & 4
\end{pmatrix} $[/tex]
is invertible by showing that its determinant is non-zero.
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Response:
Prove that the matrix [tex]\( A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix} \)[/tex] is invertible by showing that its determinant is non-zero.

Sagot :

GinnyAnswer
To simplify the fraction [tex]\(\frac{10}{50}\)[/tex], follow these steps:

1. Identify the GCD (Greatest Common Divisor):
- The GCD of 10 and 50 is the largest number that divides both 10 and 50 without leaving a remainder.
- The GCD of 10 and 50 is 10.

2. Divide both the numerator and the denominator by their GCD:
- [tex]\( \text{Numerator} = \frac{10}{10} = 1 \)[/tex]
- [tex]\( \text{Denominator} = \frac{50}{10} = 5 \)[/tex]

3. Write the simplified fraction:
- The simplified form of [tex]\(\frac{10}{50}\)[/tex] is [tex]\(\frac{1}{5}\)[/tex].

So, [tex]\(\frac{10}{50} = \frac{1}{5}\)[/tex] in simplest terms.

To summarize:
- The GCD of 10 and 50 is 10.
- Dividing both 10 and 50 by their GCD (10) results in the fraction [tex]\(\frac{1}{5}\)[/tex].

Therefore, the simplified fraction is [tex]\(\boxed{\frac{1}{5}}\)[/tex].
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