Answered

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How do you know that the sum of -2 3/4
and 5/9 rational?

Sagot :

IGreenidn
The sum of any two rational numbers is rational. Both of these numbers are rational, therefore adding them will give us another rational number.

Step-by-step explanation:

Since we have given that

[tex]-2\frac{3}{4}\ and\ \frac{5}{9}[/tex]

and we need to change the mixed fraction into improper :

[tex]-2\frac{3}{4}=\frac{-11}{4}[/tex]

Now, we need to find the sum of both fractions:

[tex]\frac{-11}{4}+\frac{5}{9}\\\\=\frac{-99+20}{36}\\\\=\frac{-79}{36}[/tex]

since it is written in [tex]\frac{p}{q}[/tex] form . So, it is a rational number.

As we know that "Rational number is any real number which can be written in the form of [tex]\frac{p}{q}[/tex]".

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