Pergunta
Add or Subtract. Write In simplest form. (Examples 3,4,6,7) 3(5)/(6)+(-1(2)/(6)) 7. -(2)/(3)+2(3)/(8) 8. -32+(1)/(4)
Solução
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XimenaVeterano · Tutor por 12 anos
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1:<br />First, let's rewrite the mixed numbers as improper fractions.<br />\[3\frac {5}{6} = \frac{23}{6}\]<br />and<br />\[-1\frac {2}{6} = -\frac{8}{6}\]<br />Now, let's perform the addition:<br />\[\frac{23}{6} + \frac{8}{6} = \frac{31}{6}\]<br />Finally, let's convert the improper fraction back to a mixed number:<br />\[\frac{31}{6} = 5\frac{1}{6}\]<br />So, the answer is $5\frac{1}{6}$.<br /><br />Answer 2:<br />Let's rewrite the mixed number as an improper fraction.<br />\[2\frac {3}{8} = \frac{19}{8}\]<br />Now, let's perform the addition:<br />\[-\frac {2}{3} + \frac{19}{8} = \frac{-16}{24} + \frac{57}{24} = \frac{41}{24}\]<br />Finally, convert the improper fraction back to a mixed number:<br />\[\frac{41}{24} = 1\frac{17}{24}\]<br />So, the answer is $1\frac{17}{24}$.<br /><br />Answer 3:<br />Let's rewrite the whole number as a fraction with the same denominator as the fraction.<br />\[-32 = -\frac{128}{4}\]<br />Now, let's perform the addition:<br />\[-\frac{128}{4} + \frac{1}{4} = -\frac{127}{4}\]<br />So, the answer is $-\frac{127}{4}$.
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