Reduce to simplest form. -(1)/(3)+(-(7)/(4))=

Identify common denominator: Identify the common denominator for the fractions -1/3 and -7/4. The common denominator for 3 and 4 is 12.Convert to equivalent fractions: Convert each fraction to an equivalent fraction with the common denominator of 12. For -1/3, multiply both the numerator and the denominator by 4 to get -4/12. For -7/4, multiply both the numerator and the denominator by 3 to get -21/12.Add fractions with common denominator: Add the two fractions with the common denominator. -4/12 + (-21/12) = (-4 - 21)/12Perform numerator addition: Perform the addition of the numerators. -4 - 21 = -25 So, the combined fraction is -25/12.Check for further simplification: Check if the fraction -25/12 can be simplified further. Since 25 and 12 have no common factors other than 1, the fraction is already in its simplest form.

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Reduce to simplest form.

-(1)/(3)+(-(7)/(4))=

Reduce to simplest form. $\newline$ $-\frac{1}{3}+\left(-\frac{7}{4}\right)=$

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Math Problems

Grade 6

Multiply using the distributive property

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Q. Reduce to simplest form.

\newline

-\frac{1}{3}+\left(-\frac{7}{4}\right)=

Identify common denominator: Identify the common denominator for the fractions $-\frac{1}{3}$ and $-\frac{7}{4}$ . $\newline$ The common denominator for $3$ and $4$ is $12$ .
Convert to equivalent fractions: Convert each fraction to an equivalent fraction with the common denominator of $12$ . $\newline$ For $-\frac{1}{3}$ , multiply both the numerator and the denominator by $4$ to get $-\frac{4}{12}$ . $\newline$ For $-\frac{7}{4}$ , multiply both the numerator and the denominator by $3$ to get $-\frac{21}{12}$ .
Add fractions with common denominator: Add the two fractions with the common denominator. $\newline$ $-\frac{4}{12} + \left(-\frac{21}{12}\right) = \frac{-4 - 21}{12}$
Perform numerator addition: Perform the addition of the numerators. $-4 - 21 = -25$ So, the combined fraction is $-\frac{25}{12}$ .
Check for further simplification: Check if the fraction $-\frac{25}{12}$ can be simplified further. $\newline$ Since $25$ and $12$ have no common factors other than $1$ , the fraction is already in its simplest form.