Найдите значение вырожения (1 1/12+ 1 1/4) × 1 19/56+ - вопрос №4720540111211411956258137119 от Mariya1985 23.10.2022 09:17

Question

Математика: Найдите значение вырожения (1 1/12+ 1 1/4) × 1 19/56+ 2 5/8 × 1 3/7 × 1 1/9=? решите по действиям

Mariya1985 · Answer

(1 1/12+1 1/4)* 1 19/56 +2 5/8 * 1 3/7* 1 1/9= 7 7/24
1) 1 1/12+ 1 1/4= 13/12 +5/4= 13/12+ 15/12 = 28/12
2) 28/12 * 1 19/56= 28/12 * 75/56= 28* 75 / 12 *56 = 1*75 /12*2= 75/24
3) 2 5/8 * 1 3/7 = 21/8 * 10/7= 3*5/4*1=15/4
4) 15/4* 1 1/9= 15/4* 10/9= 5*5/2*3=25/6
5) 75/24 +25/6 =75/24 + 25*4/ 24 = 75+100 /24 = 175/24 = 7 7 /24
Проверим : ( 1 1/12 +1 1/4 ) * 1 19/56 + 2 5/8 * 1 3/7 * 1 1/9 = ( 13/12+15/12) *75/56 +21/8* 10/7*10/9= 28*75/12*56+ 21*10*10/8*7*9= 1*75/12*2 + 1*5*10/4*1*3= 75/24 +50/12 = 175/24 =7 7/24