Question

resolva as operações de adição a subtração das frações a seguir.dica:lembre-se de encontrar frações equivalentes usado o MMC

a)2/30+8/30=

b)9/10+8/10=

C)3/10+2/5=

d)2+5/12=

e)1/3+5)12+10/15=

f)2/5/12=​

Answer 1

Adição e subtração de frações

Para efetuar este tipo de exercício devemos, primeiramente, fazer um mmc. Devemos reduzir ao mesmo denominador e depois efetuar a adição ou subtração

Exercícios:

$a)\dfrac{2}{3} +\dfrac{8}{30} \\\\\\Simplificando:\\\\\\\dfrac{2}{3} +\dfrac{4}{15} \\\\\\mmc=15\\\\\\=\dfrac{2.5+1.4}{15} \\\\\\=\dfrac{11}{15} \\\\\\Resposta = \dfrac{11}{15}$

$b)\dfrac{9}{10} +\dfrac{8}{10} \\\\\\\\Resposta=\dfrac{8+9}{10} \\\\\\\\Resposta=+\dfrac{17}{10}$

$c)\dfrac{3}{10} +\dfrac{2}{5} \\\\\\mmc=10\\\\\\\dfrac{1.3+2.2}{10} \\\\\\Resposta = \dfrac{3+4}{10} \\\\\\Resposta = + \dfrac{7}{10}$

$d)2+\dfrac{5}{12}=\\\\\\mmc=12\\\\\\=\dfrac{2.12+1.5}{12} \\\\\\=\dfrac{24+5}{12}\\\\\\Resposta = +\dfrac{29}{12}$

$e)\dfrac{1}{3} +\dfrac{5}{12} +\dfrac{10}{15} \\\\\\Simplificando\\\\\\=\dfrac{1}{3} +\dfrac{5}{12} +\dfrac{2}{3} \\\\\\mmc=12\\\\\\=\dfrac{1.4+5.1+2.4}{12} \\\\\\=\dfrac{4+5+8}{12} \\\\\\Resposta = +\dfrac{17}{12}$

$f)\dfrac{2}{\dfrac{5}{12} } \\\\\\Numerador = \dfrac{2}{5} \\\\\\Denominador = 12\\\\\\Inverso 12 = \dfrac{1}{12} \\\\\\=\dfrac{2}{5} x\dfrac{12}{1} \\\\\\Resposta = +\dfrac{24}{5}$