Question

Сравни сумму и разность дробей с 1 1/7+7/8 2/3-4/27 25/7-7/5 5/6+7/9 3/47/12 18/12-11/9 2/13+3/4 5/13-17/52 31/12+17/24

Answer 1

$\fracno numeric noise key 1220no numeric noise key 1219 + 1218no numeric noise key 1217 =\fracNO NUMERIC NOISE KEY 1216no numeric noise key 1215 1214no numeric noise key 1213 =\fracNO NUMERIC NOISE KEY 1212no numeric noise key 1211 =\fracNO NUMERIC NOISE KEY 1210no numeric noise key 1209 =1 1208no numeric noise key 1207; \ 1 1206no numeric noise key 1205 \textgreater 1\\ 1204no numeric noise key 1203 - 1202no numeric noise key 1201 =\fracNO NUMERIC NOISE KEY 1200no numeric noise key 1199 1198no numeric noise key 1197 =\fracNO NUMERIC NOISE KEY 1196no numeric noise key 1195 =\fracNO NUMERIC NOISE KEY 1194no numeric noise key 1193 ; 1192no numeric noise key 1191\ \textless 1\\ 1190no numeric noise key 1189 1188no numeric noise key 1187= 3 1186no numeric noise key 1185 -1 1184no numeric noise key 1183 =2 1182no numeric noise key 1181 1180no numeric noise key 1179 =\fracNO NUMERIC NOISE KEY 1178no numeric noise key 1177- 1176no numeric noise key 1175 =\fracNO NUMERIC NOISE KEY 1174no numeric noise key 1173 1172no numeric noise key 1171 =\fracNO NUMERIC NOISE KEY 1170no numeric noise key 1169 =\\= 1168no numeric noise key 1167 =2 1166no numeric noise key 1165 2 1164no numeric noise key 1163\ 1$
$\frac{5}{6} + \frac{7}{9}= \frac{5*3}{18} + \frac{7*2}{18} = \frac{15+14}{18} = \frac{19}{18} =1 \frac{1}{18} ; \ 1 \frac{1}{18} \ \textgreater \ 1\\ \frac{18}{12} - \frac{11}{9} = \frac{18*3}{36} -\frac{11*4}{36} =\frac{54-44}{36} =\frac{10}{36} ; \ \frac{10}{36}\ \textless \ 1\\ \frac{2}{13} +\frac{3}{4}=\frac{2*4}{52} +\frac{3*13}{52} =\frac{8+39}{52} =\frac{47}{52}; \ \frac{47}{52} \ \textless \ 1\\ \frac{5}{13} -\frac{17}{52} =\frac{5*4}{52} -\frac{17}{52} =\frac{20-17}{52} =\frac{3}{52}; \ \frac{3}{52} \ \textless \ 1$
$\frac{31}{12}+ \frac{17}{24} = \frac{31*2}{24} +\frac{17}{24} =\frac{62+17}{24}=\frac{79}{24} =3 \frac{7}{24} ; \ 3\frac{7}{24} \ \textless \ 1$

Answer 2

Для сравнения суммы и разности дробей, нужно выполнить операции сложения и вычитания в числителях и знаменателях.

1 1/7 = 8/7 7/8 = 42/56 = 21/28 2/3 - 4/27 = (54/81) - (4/27) = (54*3/81*3) - (4*3/27*3) = 162/243 - 12/81 = 162/243 - 12/81 = (162 - 12)/243 = 150/243 = 50/81 25/7 - 7/5 = (25*5/7*5) - (7*7/5*7) = 125/35 - 49/35 = (125 - 49)/35 = 76/35 5/6 + 7/9 = (5*3/6*3) + (7*2/9*2) = 15/18 + 14/18 = (15 + 14)/18 = 29/18 3/4 + 5/13 = (3*13/4*13) + (5*4/13*4) = 39/52 + 20/52 = (39 + 20)/52 = 59/52 17/52 + 31/12 = (17*12/52*12) + (31*52/12*52) = 204/624 + 1612/624 = (204 + 1612)/624 = 1816/624 = 227/78 18/12 - 11/9 = (18*9/12*9) - (11*12/9*12) = 162/108 - 132/108 = (162 - 132)/108 = 30/108 = 5/18

Таким образом, сумма и разность данных дробей равны: 1 1/7 + 7/8 = 8/7 + 21/28 = 224/196 + 49/196 = 273/196 = 1 77/196 2/3 - 4/27 = 50/81 25/7 - 7/5 = 76/35 5/6 + 7/9 = 29/18 3/4 + 5/13 = 59/52 17/52 + 31/12 = 227/78 18/12 - 11/9 = 5/18