Question

Utilizando o m.m.c calcule as operações com frações abaixo:
A) 2/3 + 3/4=
B) 5/6 + 7/4=
C) 3/4 + 2/12 + 4/8=

Pfvr me ajudem

Answer 1

Explicação passo-a-passo:

a)

$\sf mmc(3,4)=12$

$\sf \dfrac{2}{3}+\dfrac{3}{4}$

$\sf =\dfrac{2\cdot4+3\cdot3}{12}$

$\sf =\dfrac{8+9}{12}$

$\sf =\red{\dfrac{17}{12}}$

b)

$\sf mmc(6,4)=12$

$\sf \dfrac{5}{6}+\dfrac{7}{4}$

$\sf =\dfrac{5\cdot2+7\cdot3}{12}$

$\sf =\dfrac{10+21}{12}$

$\sf =\red{\dfrac{31}{12}}$

c)

$\sf mmc(4,12,8)=24$

$\sf \dfrac{3}{4}+\dfrac{2}{12}+\dfrac{4}{8}$

$\sf =\dfrac{3\cdot6+2\cdot2+4\cdot3}{24}$

$\sf =\dfrac{18+4+12}{24}$

$\sf =\dfrac{34}{24}$

$\sf =\red{\dfrac{17}{12}}$