Question

Calculați
a) 2,75-1,(18)
b)2,(3)-1,16
c)-1,2(7)-3,5​

Answer 1

a)

• 2,75=275/100=

simplificam prin 25

=11/4

• 1,(18)=118-1/99= 117/99=

simplificam prin 9

=13/11

$2.75 - 1.(18) = {}^{11)} \frac{11}{4} - {}^{4)} \frac{13}{11} = \\ \\ = \frac{121}{44} - \frac{52}{44} = \frac{69}{44} = 1.56(81)$

b)

• 2,(3)=23-2/9=21/9=

simplificam prin 3

=7/3

• 1,16=116/100=

simplificam prin 4

=29/25

${}^{25)} \frac{7}{3} - {}^{3)} \frac{29}{25} = \frac{175}{75} - \frac{87}{75} = \\ \\ = \frac{88}{75} = 1.17(3)$