Răspuns :
(3/8+1 1/4):4,5=(3/8+5/4):4.5=(13/8)x1/4,5=13/36=0.36(1)
(8 2/3+4 4/5):2 9/10=(26/3+24/5):29/10=[(78+72)/15]x10/29=(150/15)x(10/29)=10x10/29=100/29
(8 2/3+4 4/5):2 9/10=(26/3+24/5):29/10=[(78+72)/15]x10/29=(150/15)x(10/29)=10x10/29=100/29
3 / 8 + 1 intreg si 1 / 4 : 4,5 =
1 intreg si 1 / 4 = ( 1 x 4 + 1) / 4 = 5 / 4
3 / 8 + 5 / 4 : 45 / 10 =
= 3 / 8 + 5 / 4 × 10 / 45 =
= 3 / 8 + 5 / 18 =
= 27 / 72 + 20 / 72 =
= 47 / 72
________________
→ introduc intregii in fractie
8 intregi si 2 / 3 = ( 8 × 3 + 2) / 3 = 26 / 3
4 intregi si 4 / 5 = ( 4 × 5 + 4 ) / 5 = 24 / 5
2 intregi si 9 / 10 = ( 2 × 10 + 9 ) / 10 = 29 / 10
26 / 3 + 24 / 5 : 29 / 10 = 26 / 3 + 24 / 5 × 10 / 29 =
= 26 / 3 + 48 / 29 =
= ( 26 × 29 ) / ( 3 × 29 ) + ( 48 × 3) / ( 29 × 3) =
= 754 / 87 + 144 / 87 =
= 898 / 87 = 10 intregi si 28 / 87
1 intreg si 1 / 4 = ( 1 x 4 + 1) / 4 = 5 / 4
3 / 8 + 5 / 4 : 45 / 10 =
= 3 / 8 + 5 / 4 × 10 / 45 =
= 3 / 8 + 5 / 18 =
= 27 / 72 + 20 / 72 =
= 47 / 72
________________
→ introduc intregii in fractie
8 intregi si 2 / 3 = ( 8 × 3 + 2) / 3 = 26 / 3
4 intregi si 4 / 5 = ( 4 × 5 + 4 ) / 5 = 24 / 5
2 intregi si 9 / 10 = ( 2 × 10 + 9 ) / 10 = 29 / 10
26 / 3 + 24 / 5 : 29 / 10 = 26 / 3 + 24 / 5 × 10 / 29 =
= 26 / 3 + 48 / 29 =
= ( 26 × 29 ) / ( 3 × 29 ) + ( 48 × 3) / ( 29 × 3) =
= 754 / 87 + 144 / 87 =
= 898 / 87 = 10 intregi si 28 / 87