Matemáticas, pregunta formulada por Agustinamarilla, hace 1 año

Resolver los siguientes cálculos combinados

a)3 ÷ 6/5 - 3/4 - 5/2 ÷ 4


b)6/5 × 2/3 + 3/10


c)4/9 × 3/8 + 10/3 ÷ 5


d)(2 - 7/4) × 8/5 - 3/10


e)(5/6 + 2/3) × 8/9 - 5/6

Respuestas a la pregunta

Contestado por sonia2302
3

Explicación paso a paso:

a)

3 \div  \frac{6}{5}  -  \frac{3}{4}  -  \frac{5}{2}  \div 4 =  \\  \\  \frac{15}{6}  -  \frac{3}{4}  -  \frac{5}{8}  =   \\  \\ \frac{60 - 18 - 15}{24}  =  \frac{27}{24}  =  \frac{9}{8}

b)

 \frac{6}{5}  \times  \frac{2}{3}  +  \frac{3}{10}  =  \\  \\  \frac{12}{15}  +  \frac{3}{10}  =  \frac{24 + 9}{30}  =  \frac{33}{30}  =  \frac{11}{10}

c)

 \frac{4}{9}  \times  \frac{3}{8 }  +  \frac{10}{3}  \div 3 = \\  \\  \frac{12}{72}  +  \frac{10}{9}  =  \\  \\  \frac{1}{6}  +  \frac{10}{9}  =  \frac{9 + 60}{54}  =  \frac{69}{54}  =  \frac{23}{18}

d)

(2 -  \frac{7}{4} ) \times  \frac{8}{5 }  -  \frac{3}{10}  =  \\  \\  \frac{8 - 7}{4}  \times  \frac{8}{5}   -  \frac{3}{10}  =  \\  \\  \frac{1}{4}  \times  \frac{8}{5}  -  \frac{3}{10}  =  \\  \\  \frac{8}{20}  -  \frac{3}{10}  =  \frac{8 - 6}{20}  =  \frac{2}{20}  =  \frac{1}{10}

e)

( \frac{5}{6}  +  \frac{2}{3} ) \times  \frac{8}{9}  -  \frac{5}{6} =  \\  \\(  \frac{5 + 4}{6}  ) \times  \frac{8}{9}  -  \frac{5}{6}  =  \\  \\  \frac{9}{6}  \times  \frac{8}{9}  -  \frac{5}{6}  =  \\  \\  \frac{72}{54}  -  \frac{5}{6}  =  \frac{72 - 45}{54}  =  \frac{27}{54}  =  \frac{1}{2}

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