Question

(13целых6/17+y)×8целых9/17=6целых9/17

Answer 1

Ответ:

Пошаговое объяснение:

(227/17 + у) * 145/17 = 111/17

(227/17 + у) = 111/17 : 145/17

(227/17 + у) = 111/17 * 17/145

(227/17 + у) = 111/145

у = 111/145 - 227/17 = (111*17-227*145)/2465 =

= - 31028/2465 = - 12целых 1448/2465

Answer 2

Let's solve the given equation step by step.

Given equation: (13 целых 6/17 + y) × 8 целых 9/17 = 6 целых 9/17

Step 1: Convert mixed numbers to improper fractions. 13 целых 6/17 can be written as (13 × 17 + 6)/17 = 223/17 8 целых 9/17 can be written as (8 × 17 + 9)/17 = 145/17

The equation now becomes: (223/17 + y) × 145/17 = 6 целых 9/17

Step 2: Simplify the left side of the equation by distributing the multiplication. (223/17 + y) × 145/17 = (223/17) × (145/17) + y × (145/17) = 32335/289 + 145y/17

Step 3: Now the equation is: 32335/289 + 145y/17 = 6 целых 9/17

Step 4: Convert the whole number on the right side to an improper fraction. 6 целых 9/17 can be written as (6 × 17 + 9)/17 = 111/17

The equation now becomes: 32335/289 + 145y/17 = 111/17

Step 5: To eliminate the denominators, multiply both sides of the equation by 289 × 17 (common denominator of the left side). 289 × 17 × (32335/289) + 289 × 17 × (145y/17) = 289 × 17 × (111/17)

Step 6: Simplify both sides. 32335 + 145y × 289 = 289 × 111

Step 7: Solve for y. 145y × 289 = 31779 y × 289 = 31779 / 145 y = 219

So, the value of y that satisfies the equation is 219.