Question

(1 16/25+x)-4/5=4 2/5

Answer 1

Ответ:

Пошаговое объяснение:

(1 16/25+x)-4/5=4 2/5

1 16/25 + x = 4 2/5 + 4/5

1 16/25 + x = 4 6/5

x = 4 6/5 - 1 16/25

x = 4 30/25 - 1 16/25

x = 3 14/25

Answer 2

Let's solve the equation step by step.

Given equation: (1 16/25 + x) - 4/5 = 4 2/5

Step 1: Convert mixed numbers to improper fractions.

1 16/25 = (25 * 1 + 16) / 25 = 41/25 4 2/5 = (5 * 4 + 2) / 5 = 22/5

Rewriting the equation: (41/25 + x) - 4/5 = 22/5

Step 2: Find a common denominator for the fractions.

The common denominator for 25, 5, and 5 is 25.

Rewritten equation: (41/25 + x) - (4/5 * 5/5) = 22/5

Simplifying: (41/25 + x) - 20/25 = 22/5

Step 3: Combine like terms on the left side.

(41/25 - 20/25 + x) = 22/5

Simplifying: (21/25 + x) = 22/5

Step 4: Multiply both sides of the equation by 25 to eliminate the fractions.

25 * (21/25 + x) = 25 * (22/5)

21 + 25x = 110/5

Simplifying: 21 + 25x = 22

Step 5: Solve for x.

Subtract 21 from both sides:

21 + 25x - 21 = 22 - 21

25x = 1

Divide both sides by 25:

25x/25 = 1/25

x = 1/25

Therefore, the solution to the equation is x = 1/25.