Question

Calculați: A) (11/6 +3/4) : 31/24 ; B) (5/6 +11/9) : 79/9 ; C) (13/12 - 7/16) : 37/30 + 1/2
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Answer 1

Sper ca te-am ajutat....

Answer 2

a)

$( \frac{11}{6} + \frac{3}{4} ) \div \frac{31}{24} \\ \\ = ( \frac{22}{12} + \frac{9}{12} ) \div \frac{31}{24} \\ \\ = \frac{31}{12} \div \frac{31}{24} \\ \\ = \frac{31}{12} \times \frac{24}{31} \\ \\ = \frac{2}{1}$

la final am simplificat 31 cu 31 si 12 cu 24

b)

$(\frac{5}{6} + \frac{11}{9} ) \div \frac{79}{9} \\ \\ = ( \frac{15}{18} + \frac{22}{18} ) \div \frac{79}{9} \\ \\ = \frac{37}{18} \div \frac{79}{9} \\ \\ = \frac{37}{18} \times \frac{9}{79} \\ \\ = \frac{37}{2} \times \frac{1}{79} = \frac{37}{158}$

c)

$( \frac{13}{12} - \frac{7}{16} ) \div \frac{37}{30} + \frac{1}{2} \\ \\ = ( \frac{52}{48} - \frac{21}{48} ) \div \frac{37}{30} + \frac{1}{2} \\ \\ = \frac{31}{48} \div \frac{37}{30} + \frac{1}{2} \\ \\ = \frac{31}{48} \times \frac{30}{37} + \frac{1}{2} \\ \\ = \frac{31}{16} \times \frac{10}{37} + \frac{1}{2} \\ \\ = \frac{310}{592} + \frac{1}{2} \\ \\ = \frac{155}{296} + \frac{1}{2} \\ \\ = \frac{155}{296} + \frac{148}{296} \\ \\ = \frac{303}{296}$

Sper ca te-am ajutat ♡