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exprimer sous forme fractionnaire simplifiée :
a. 2/3 + 1/2
b. 5/4 - 5/6
c. 3 + 6/7
d. 3/8 - 7/12
e. 13/25 _ -3/10
f. 8 - 7/5
g. 8/9 + 5/12 -1/2
h. 5/18 -7/4 +2/3
exprimer sous forme fractionnaire simplifiée :
a. 2/3 + 1/2
b. 5/4 - 5/6
c. 3 + 6/7
d. 3/8 - 7/12
e. 13/25 _ -3/10
f. 8 - 7/5
g. 8/9 + 5/12 -1/2
h. 5/18 -7/4 +2/3
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Bonsoir,a. 2/3 + 1/2
= 2 x 2 / 3 x 2 + 1 x 3 / 2 x 3
= 4/6 + 3/6
= 7/6
b. 5/4 - 5/6
= 5 x 6 / 4 x 6 - 5 x 4 / 6 x 4
= 30/24 - 20/24
= 10/24
= 2 x 5 / 2 x 12
= 5/12
c. 3 + 6/7
= 3 x 7 / 1 x 7 + 6/7
= 21/7 + 6/7
= 27/7
d. 3/8 - 7/12
= 3 x 3 / 8 x 3 - 7 x 2 / 12 x 2
= 9/24 - 14/24
= - 5/24
e. 13/25 _ -3/10
= 13 x 2 / 25 x 2 - 3 x 5 / 10 x 5
= 26/50 - 15/50
= 11/50
f. 8 - 7/5
= 8 x 5 / 1 x 5 - 7/5
= 40/5 - 7/5
= 33/5
g. 8/9 + 5/12 -1/2
= 8 x 4 / 9 x 4 + 5 x 3 / 12 x 3 - 1 x 18 / 2 x 18
= 32/36 + 15/36 - 18/36
= 47/36 - 18/36
= 29/36
h. 5/18 -7/4 +2/3
= 5 x 2 / 18 x 2 - 7 x 9 / 4 x 9 + 2 x 12 / 3 x 12
= 10/36 - 63/36 + 24/36
= 34/3 - 63/36
= - 29/36