Solve. -7(2)/(3)+(-5(1)/(2))+8(3)/(4)= □

Convert to Improper Fractions: Convert mixed numbers and fractions to improper fractions for easier calculation. -7(2/3) = -14/3 -5(1/2) = -11/2 8(3/4) = 35/4Find Common Denominator: Find a common denominator to add the fractions, which is 12. -14/3 = -56/12 -11/2 = -66/12 35/4 = 105/12Add Fractions: Add the fractions. -56/12 + (-66/12) + 105/12 = (-56 - 66 + 105)/12 = -17/12

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Math Problems

Grade 8

Solve equations with the distributive property

Full solution

Q. Solve.

\newline

-7\left(\frac{2}{3}\right)+\left(-5\left(\frac{1}{2}\right)\right)+8\left(\frac{3}{4}\right)=

\square

Convert to Improper Fractions: Convert mixed numbers and fractions to improper fractions for easier calculation. $\newline$ $-7\left(\frac{2}{3}\right) = -\frac{14}{3}$ $\newline$ $-5\left(\frac{1}{2}\right) = -\frac{11}{2}$ $\newline$ $8\left(\frac{3}{4}\right) = \frac{35}{4}$
Find Common Denominator: Find a common denominator to add the fractions, which is $12$ . $\newline$ $-\frac{14}{3} = -\frac{56}{12}$ $\newline$ $-\frac{11}{2} = -\frac{66}{12}$ $\newline$ $\frac{35}{4} = \frac{105}{12}$
Add Fractions: Add the fractions. $\newline$ $-\frac{56}{12} + (-\frac{66}{12}) + \frac{105}{12} = (\frac{-56 - 66 + 105}{12}) = \frac{-17}{12}$