( 13 1/4 — 2 5/27)×230 1/25+ 46 3/4 ÷ (1 3/7 +10/3 )÷(12 1/3-14 2/7)

Вопрос школьника по предмету Математика

( 13 1/4 — 2 5/27)×230 1/25+ 46 3/4 ÷ (1 3/7 +10/3 )÷(12 1/3-14 2/7)

Ответ учителя по предмету Математика

( 13 1/4 — 2 5/27)×230 1/25+ 46 3/4 ÷ (1 3/7 +10/3 )÷(12 1/3-14 2/7) = 2550 
6207/16400
 

1) 13 1/4 — 2 5/27 = 53/4-59/27 = 1431/108-236/108 = 1195/108
2) 1 3/7 +10/3 = 10/7+10/3 = 30/21+70/21 = 100/21

3) 12 1/3-14 2/7 = 37/3-100/7 = 259/21-300/21 = -41/21

4) 1195/108*230 1/25 = 1195/108*5751/25=50907/20

5) 46 3/4:100/21=187/4*21/100 = 3927/400

6) 3927/400:(-41/21)=3927/400*(-21/41)=82467/16400

7) 50907/20+82467/16400=41743740/16400+82467/16400 = 41826207/16400 = 2550 
6207/16400