Question

Determinati fractia a/b echivalenta cu 5/6, stiind ca a + b = 66
va rogg!

Answer 1

a/b = 5/6

a + b = 66 / × 5

a/b = 5/6 ⇒ 6a = 5b

produsul miezilor / produsul extremilor

5a + 6 = 330

11a = 330

a = 330 : 11

a = 30

5 × 30 + 5 × b =  180 + 6b

b = 180 : 6

b = 36

a/b = 30/36 = 5/6

a + b = 30 + 36 = 66

Answer 2

Răspuns:

a/b=5/6=>6a=5b

a+b=66 I·5

5a+5b=330

5a+6a=330

11a=330=>a=330:11=>a=30

6·30=5b

180=5b=>b=180:5=>b=36

a/b=30/36=5/6

5/6=30/36