Wyznacz 4/7a-4/7b, wiedząc że 5/12a-5/12b=3/8
/ to ułamek
(4/7)a - (4/7)b =
(5/12)a - (5/12)b = 3/8 ; mnozymy przez 12
5a - 5b = 36/8 / : 5
a - b = 36/40 = 9/10
b = a - 9/10
==========
zatem
(4/7)a - (4/7)b = (4/7)a - (4/7)*[a - 9/10 ] =
= (4/7)a - (4/7)a + (4/7)*(9/10) = 36/70 = 18/35
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(4/7)a - (4/7)b =
(5/12)a - (5/12)b = 3/8 ; mnozymy przez 12
5a - 5b = 36/8 / : 5
a - b = 36/40 = 9/10
b = a - 9/10
==========
zatem
(4/7)a - (4/7)b = (4/7)a - (4/7)*[a - 9/10 ] =
= (4/7)a - (4/7)a + (4/7)*(9/10) = 36/70 = 18/35
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