Question

son ecuaciones ayuden con el procedimiento uwu

Answer 1

Respuesta:

Fracciones:

a)$\frac{5}{7} + \frac{1}{4} \times \frac{2}{5} - \frac{4}{6}$

• Resolvemos: $\frac{5}{7} + \frac{1}{4}$

$\frac{5}{7} + \frac{1}{4} = \frac{20 + 7}{28} = \frac{27}{28}$

• Resolvemos:$\frac{27}{28} \times \frac{2}{5}$

$\frac{27}{28} \times \frac{2}{5} = \frac{135 \times 56}{140} = \frac{7560}{140} = 42$

• Resolvemos:$42 - \frac{4}{6}$

Agregamos como denominador 1.

$\frac{42}{1} - \frac{4}{6} = \frac{252 - 4}{6} = \frac{248}{6} = \frac{124}{3} =$

$\large\boxed{\bold{Rpta: 124/3}}$

b) $\frac{3}{2} \times \frac{1}{3} \div 4 - \frac{10}{3}$

• Resolvemos:$\frac{3}{2} \times \frac{1}{3}$

$\frac{3}{2} \times \frac{1}{3} = \frac{9 \times 2}{6} = \frac{18}{6} = 3$

• Resolvemos:$\frac{3}{1} \div \frac{4}{1}$

$\frac{3}{1} \div \frac{4}{1} = \frac{3 \times 4}{1} = 12$

• Resolvemos:$12 - \frac{10}{3}$

$\frac{12}{1} - \frac{10}{3} = \frac{36}{3} = 12$

$\large\boxed{\bold{Rpta: 12}}$

$c) \frac{8}{3} \times \frac{5}{4} - ( \frac{3}{2} + \frac{3}{4} )$

• Resolvemos paréntesis:

$\frac{3}{2} + \frac{3}{4} = \frac{12 + 6}{8} = \frac{18}{8} = \frac{9}{4}$

• Resolvemos: $\frac{8}{3} \times \frac{5}{4}$

$\frac{8}{3} \times \frac{5}{4} = \frac{32 \times 15}{12} = \frac{480}{12} = 40$

• Resolvemos:$40 - \frac{9}{4}$

$\frac{40}{1} - \frac{9}{4} = \frac{160 - 9}{4} = \frac{151}{4}$

$\large\boxed{\bold{Rpta: 151/4}}$

$d) \frac{11}{5} \div \frac{1}{2} - \frac{3}{6} \times \frac{6}{4}$

• Resolvemos:$\frac{11}{5} \div \frac{1}{2}$

$\frac{11}{5} \div \frac{1}{2} = \frac{22 \times 5}{10} = \frac{27}{10}$

• Resolvemos:$\frac{27}{10} - \frac{3}{6}$

$\frac{27}{10} - \frac{3}{6} = \frac{162 - 30}{60} = \frac{132}{60}= \frac{11}{15}$

• Resolvemos:
• $\frac{11}{15} \times \frac{6}{4} = \frac{44 \times 90}{60} = \frac{3960}{60} = 66$

$\large\boxed{\bold{Rpta: 66}}$

Answer 2

Respuesta:

Para los ejercicios presentados, primero óperas dentro de los paréntesis, luego la multiplicacion y división y al final sumas y restas.

Explicación paso a paso:

$a) \: \frac{5}{7} + \frac{1}{4} \times \frac{2}{5} - \frac{4}{6} = \\ \frac{5}{7} + \frac{1}{10} - \frac{2}{3} = \\ \frac{150 + 21 - 140}{210} = \\ = \frac{31}{210}$

$b) \: \frac{3}{2} - \frac{1}{3} \div 4 - \frac{10}{3} = \\ \frac{3}{2} - \frac{1}{3} \times \frac{1}{4} - \frac{10}{3} = \\ \frac{3}{2} - \frac{1}{12} - \frac{10}{3} = \\ \frac{54 - 3 - 120}{36} = \\ \frac{69}{36} = \\ = \frac{23}{12}$

$c) \: \frac{8}{3} \times \frac{5}{4} - ( \frac{3}{2} + \frac{3}{4}) = \\ \frac{10}{3} - ( \frac{9}{4} ) = \\ \frac{40 - 27}{12} = \\ = \frac{13}{12}$

$d) \: \frac{11}{5} \div \frac{1}{2} - \frac{3}{6} \times \frac{6}{4} = \\ \frac{11}{5} \times 2 - \frac{1}{2} \times \frac{3}{2} = \\ \frac{22}{5} - \frac{3}{4} = \\ \frac{88 - 15}{20} = \\ = \frac{73}{20}$