Question

Me pueden ayudar con los ejercicips de operaciones combinadas por fa

Answer 1

Respuesta:

a)falso

b)verdadero

c)falso

d)falso

Explicación paso a paso:

$\frac{\frac{4}{5}}{\left(\frac{5}{6}-\frac{1}{3}\right)\frac{1}{2}-\frac{3}{30}}=\frac{7}{10}\\\\\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}\\\\\frac{4}{5\left(\left(\frac{5}{6}-\frac{1}{3}\right)\frac{1}{2}-\frac{3}{30}\right)}=\frac{7}{10}\\\\\frac{4}{5\left(\frac{1}{4}-\frac{1}{10}\right)}=\frac{7}{10}\\\\\frac{4}{5\cdot \frac{3}{20}}=\frac{7}{10}\\\\\frac{4}{\frac{3}{4}}=\frac{7}{10}$

$\frac{4\cdot \:4}{3}=\frac{7}{10}\\\\\frac{16}{3}=\frac{7}{10}\\\\\mathrm{Los\:lados\:no\:son\:iguales}\\\\\mathrm{Falso}$

$\frac{5}{2}\left(\frac{1}{4}-\frac{1}{5}+\frac{2}{3}\right)+\frac{5}{24}\\\\\mathrm{Multiplicar\:fracciones}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\\\\frac{5\left(\frac{1}{4}-\frac{1}{5}+\frac{2}{3}\right)}{2}+\frac{5}{24}=2\\\\\frac{5\cdot \frac{43}{60}}{2}+\frac{5}{24}=2\\\\\frac{\frac{43}{12}}{2}+\frac{5}{24}=2\\\\\frac{43}{12\cdot \:2}+\frac{5}{24}=2\\\\\frac{43}{24}+\frac{5}{24}=2\\\\\frac{43+5}{24}=2\\\\\frac{48}{24}=2\\\\2=2\\\\Lados\:iguales$

$\frac{\left(\frac{4}{15}\cdot \frac{5}{8}\right)}{\frac{1}{6}+\frac{1}{2}}=\frac{3}{2}\\\\\mathrm{Simplificar}\:\frac{1}{6}+\frac{1}{2}\:\mathrm{en\:una\:fracción}:\quad \frac{2}{3}\\\\\frac{\frac{5}{8}\cdot \frac{4}{15}}{\frac{2}{3}}=\frac{3}{2}\\\\\mathrm{Multiplicar\:}\frac{4}{15}\cdot \frac{5}{8}\::\quad \frac{1}{6}=\frac{3}{2}\\\\\frac{\frac{1}{6}}{\frac{2}{3}}=\frac{3}{2}\\\\\mathrm{Dividir\:fracciones}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}$

$\frac{1\cdot \:3}{6\cdot \:2}=\frac{3}{2}\\\\\frac{3}{6\cdot \:2}=\frac{3}{2}\\\\\frac{3}{12}=\frac{3}{2}\\\\\mathrm{Eliminar\:los\:terminos\:comunes:}\:3\\\\\frac{1}{4}=\frac{3}{2}$

$\mathrm{Los\:lados\:no\:son\:iguales}\\\\\mathrm{Falso}$

$\frac{\frac{3}{4}}{\left(\frac{1}{2}+\frac{5}{8}-\frac{3}{4}\right)+\frac{5}{3}}=\frac{11}{3}\\\\\frac{\frac{3}{4}}{\frac{1}{2}+\frac{5}{8}-\frac{3}{4}+\frac{5}{3}}=\frac{11}{3}\\\\\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}\\\\\frac{3}{4\left(\frac{1}{2}+\frac{5}{8}-\frac{3}{4}+\frac{5}{3}\right)}=\frac{11}{3}\\\\\mathrm{Simplificar}\:\frac{1}{2}+\frac{5}{8}-\frac{3}{4}+\frac{5}{3}\:\mathrm{en\:una\:fraccion}:\quad \frac{49}{24}$

$\frac{3}{4\cdot \frac{49}{24}}=\frac{11}{3}\\\\\frac{3}{\frac{49}{6}}=\frac{11}{3}\\\\\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}\\\\\frac{3\cdot \:6}{49}=\frac{11}{3}\\\\\frac{18}{49}=\frac{11}{3}$

$\mathrm{Los\:lados\:no\:son\:iguales}\\\\\mathrm{Falso}$