Question

Сократьте дробь а ) 78\338 б) 255/524 в) 324/405 г) 84•108/48•126 96•35•110/33•80•105 Заранее спасибо)

Answer 1

78/338 = 36/169
255/524 = ?
324/405 = 107/135

84•108/48•126 = 21•12/12•14 = 21/14 = 3/2
(84 сократили с 48, 108 с 126)

96•35•110/33•80•105 = 24•10/20•3 = 4
(96 сократили с 80, 110 с 33, 105 с 35)

Answer 2

Simplifying Fractions

To simplify the given fractions, let's start by simplifying each fraction individually.

a) 78/338: To simplify the fraction 78/338, we can find the greatest common divisor (GCD) of 78 and 338 and then divide both the numerator and the denominator by the GCD.

The GCD of 78 and 338 is 26. Therefore, the simplified form of 78/338 is 3/13.

b) 255/524: For the fraction 255/524, we can find the GCD of 255 and 524 and then divide both the numerator and the denominator by the GCD.

The GCD of 255 and 524 is 1. Therefore, the simplified form of 255/524 is 255/524.

c) 324/405: For the fraction 324/405, we can find the GCD of 324 and 405 and then divide both the numerator and the denominator by the GCD.

The GCD of 324 and 405 is 81. Therefore, the simplified form of 324/405 is 4/5.

d) 84•108/48•126: To simplify the fraction 84•108/48•126, we can first simplify the numerators and denominators separately and then simplify the resulting fraction.

84•108 = 9072 48•126 = 6048

The simplified form of 84•108/48•126 is 9072/6048, which can be further simplified by finding the GCD of 9072 and 6048.

The GCD of 9072 and 6048 is 3024. Therefore, the simplified form of 84•108/48•126 is 3/2.

e) 96•35•110/33•80•105: Similarly, for the fraction 96•35•110/33•80•105, we can simplify the numerators and denominators separately and then simplify the resulting fraction.

96•35•110 = 369600 33•80•105 = 277200

The simplified form of 96•35•110/33•80•105 is 369600/277200, which can be further simplified by finding the GCD of 369600 and 277200.

The GCD of 369600 and 277200 is 369600. Therefore, the simplified form of 96•35•110/33•80•105 is 5/4.

Final Simplified Fractions:

a) 78/338 = 3/13 b) 255/524 = 255/524 c) 324/405 = 4/5 d) 84•108/48•126 = 3/2 e) 96•35•110/33•80•105 = 5/4