Question

Aratati ca fractiile 15/10 si F sunt echivalente, unde F = 9/32 ( 5 2 supra 3 - 4 supra 21 : 4 supra 7 ). Help me, 30 p... !!!!!!!!​

Answer 1

Răspuns:

Explicație pas cu pas:

15/10 = ( 15:5)/(10:5)=3/2

F = 9/32 ( 17/3 - 4/21  :  4/7)

F = ( 9/32) × ( 17/3 - 4/21  × 7/4)

F = ( 9/32 ) × ( 17/3 - 1/3)

F = ( 9/32 ) × ( 16/3)

F = 3/2

15/10  = 3/2  → fractii echivalente

⇒15 ×2 =  3 × 10  → produsul mezilor = produsul extremilor

Answer 2

F = 9 / 32 × ( 5 2 / 3 - 4 / 21 : 4 / 7 )

F = 9 / 32 × ( 5 × 3 + 2 / 3 - 4 / 21 × 7 / 4 )

F = 9 / 32 × ( 15 + 2 / 3 - 28 / 84 )

F = 9 / 32 × ( 17 / 3 - 28 / 84 )

F = 9 / 32 × ( 476 / 84 - 28 / 84 )

F = 9 / 32 × 448 / 84

F = 4032 / 2688

4032 / 2688 = 1, 5

15 / 10 = 1, 5

15 / 10 = 4032 / 2688 ( F )