(-243)/(58)+(719)/(58)+(273)/(-58)

Combine fractions: Combine the fractions with the same denominator. Since (-243)/(58) and (719)/(58) have the same denominator, we can combine them by adding their numerators. The fraction (273)/(-58) also has the same denominator, so we can include it in the sum by subtracting its numerator (since it's divided by a negative number). (-243)/(58) + (719)/(58) - (273)/(58)Perform operations: Perform the addition and subtraction of the numerators. Now we add and subtract the numerators: (-243) + (719) - (273) = 719 - 243 - 273Calculate result: Calculate the result of the numerators' operation. Now we perform the actual calculations: 719 - 243 - 273 = 476 - 273 = 203Place over denominator: Place the result over the common denominator. Now that we have the result of the numerators' operation, we place it over the common denominator: 203/58

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Math Problems

Algebra 2

Add, subtract, multiply, and divide polynomials

Full solution

\frac{-243}{58}+\frac{719}{58}+\frac{273}{-58}

Combine fractions: Combine the fractions with the same denominator. $\newline$ Since $(-243)/(58)$ and $(719)/(58)$ have the same denominator, we can combine them by adding their numerators. The fraction $(273)/(-58)$ also has the same denominator, so we can include it in the sum by subtracting its numerator (since it's divided by a negative number). $\newline$ $(-243)/(58) + (719)/(58) - (273)/(58)$
Perform operations: Perform the addition and subtraction of the numerators. $\newline$ Now we add and subtract the numerators: $\newline$ $(-243) + (719) - (273)$ $\newline$ $= 719 - 243 - 273$
Calculate result: Calculate the result of the numerators' operation. $\newline$ Now we perform the actual calculations: $\newline$ $719 - 243 - 273$ $\newline$ = $476 - 273$ $\newline$ = $203$
Place over denominator: Place the result over the common denominator. $\newline$ Now that we have the result of the numerators' operation, we place it over the common denominator: $\newline$ $\frac{203}{58}$