Question

G)
6/112+3/56:1/14
————————
4 1/2

H)
4 2/3•(15/54-4/18)
—————————-
(1 3/7+1/14):3/7

Answer 1

4 intregi si 1/2 = ( 4 x 2 + 1)/2 = 9/2

(6/112 + 3/56 : 1/14) : 9/2 = ( 6/112 + 3/56 × 14/1) : 9/2=
                                                  → simplific pe 14 cu 56 prin 14 = 1/4
= ( 6/112 + 3/4)  × 2/9 =   → amplific fractia 3/4 cu 28

= [ 6/112 + (28 x 3 ) / ( 28 x 4) ] × 2/9 = 

= ( 6/112 + 84/112) × 2/9 = 

= 90 /112 × 2/9 =   → simplific pe 90 cu 9 = 10 /1, dar si pe 2 cu 112

= 10/56 = 

= 5/28


h)
4 intregi 2/3 = ( 4 x 3 + 2)/3= 14/3

1 intreg si 3/7 = (1 x 7 + 3) / 7 = 10/7

[14/3 × ( 15/54 - 4/18 ) ] : [ ( 10/7 + 1/14 ) : 3/7]=

= [ 14/3 × ( 5/18 - 4/18 )] : [ ( 20/14 + 1/14) × 7/3]=

= ( 14/3 × 1/18) : ( 21/14 × 7/3)= → simplific pe 21 cu 3 = 7, dar si pe 7 cu 14

= 7/27 × 7/2 = 

= 49/54