(2) (1)/(4)+(-(7)/(9))=

Identify Numbers: Identify the numbers to be added. We have two fractions: 1/4 and -7/9. We need to add these two fractions.Find Common Denominator: Find a common denominator for the fractions. The denominators are 4 and 9. The least common multiple of 4 and 9 is 36. So, we will convert both fractions to have a denominator of 36.Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with a denominator of 36. For 1/4, we multiply the numerator and the denominator by 9 to get (1*9)/(4*9) = 9/36. For -7/9, we multiply the numerator and the denominator by 4 to get (-7*4)/(9*4) = -28/36.Add Fractions: Add the equivalent fractions. Now we add 9/36 and -28/36. (9/36) + (-28/36) = (9 - 28)/36 = -19/36Simplify Result: Simplify the result if possible. The fraction -19/36 is already in its simplest form because 19 and 36 have no common factors other than 1.

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Solve: $\newline$ $\quad \frac{1}{4} + \left(-\frac{7}{9}\right) =$

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Algebra 1

Multiplication with rational exponents

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Q. Solve:

\newline

\quad \frac{1}{4} + \left(-\frac{7}{9}\right) =

Identify Numbers: Identify the numbers to be added. $\newline$ We have two fractions: $\frac{1}{4}$ and $-\frac{7}{9}$ . We need to add these two fractions.
Find Common Denominator: Find a common denominator for the fractions. $\newline$ The denominators are $4$ and $9$ . The least common multiple of $4$ and $9$ is $36$ . So, we will convert both fractions to have a denominator of $36$ .
Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with a denominator of $36$ . For $\frac{1}{4}$ , we multiply the numerator and the denominator by $9$ to get $(\frac{1\times9}{4\times9}) = \frac{9}{36}$ . For $\frac{-7}{9}$ , we multiply the numerator and the denominator by $4$ to get $(\frac{-7\times4}{9\times4}) = \frac{-28}{36}$ .
Add Fractions: Add the equivalent fractions. $\newline$ Now we add $\frac{9}{36}$ and $-\frac{28}{36}$ . $\newline$ $(\frac{9}{36}) + (-\frac{28}{36}) = \frac{9 - 28}{36} = -\frac{19}{36}$
Simplify Result: Simplify the result if possible. $\newline$ The fraction $-\frac{19}{36}$ is already in its simplest form because $19$ and $36$ have no common factors other than $1$ .