Question

1)-5 3/20-х=3 1/8; 2) -29 3/7-х=11 4/21​

Answer 1

Ответ: -8целых 11/40; -40целых 13/21

Пошаговое объяснение:

1)

-5целых 3/20 - х = 3целых 1/8

х = -5целых 3/20 - 3целых 1/8

х = -5целых 6/40 - 3целых 5/40

х = -8целых 11/40

2)

-29целых 3/7 - х = 11целых 4/21

х = -29целых 3/7 - 11целых 4/21

х = -29целых 9/21 - 11целых 4/21

х = -40целых 13/21

Answer 2

To solve the equations, let's work on them one by one:

1. -5 3/20 - x = 3 1/8

First, let's convert the mixed numbers to improper fractions: -5 3/20 = -103/20 3 1/8 = 25/8

Now, we can rewrite the equation as: -103/20 - x = 25/8

To simplify the equation, let's find a common denominator for the fractions on both sides. The common denominator for 20 and 8 is 40.

Multiplying both sides by 40 to clear the denominators, we have: 40 * (-103/20) - 40 * x = 40 * (25/8)

Simplifying further: -2060/20 - 40x = 1000/8

Simplifying the fractions: -103 - 40x = 125

Now, let's isolate the variable by subtracting -103 from both sides: -40x = 125 + 103 -40x = 228

Finally, divide both sides by -40 to solve for x: x = 228 / -40 x = -57/10

Therefore, the solution to the equation is x = -57/10.

2. -29 3/7 - x = 11 4/21

Converting the mixed numbers to improper fractions: -29 3/7 = -206/7 11 4/21 = 235/21

Rewriting the equation with improper fractions: -206/7 - x = 235/21

To simplify the equation, let's find a common denominator for the fractions on both sides. The common denominator for 7 and 21 is 21.

Multiplying both sides by 21 to clear the denominators, we have: 21 * (-206/7) - 21 * x = 21 * (235/21)

Simplifying further: -4386/7 - 21x = 235

Now, let's isolate the variable by subtracting -4386/7 from both sides: -21x = 235 + 4386/7 -21x = 235 + 6264/7

To simplify the fractions, let's find a common denominator for 7 and 1, which is 7: -21x = 235 * 7/7 + 6264/7 -21x = 1645/7 + 6264/7 -21x = 7909/7

Finally, divide both sides by -21 to solve for x: x = (7909/7) / -21 x = 7909 / (7 * -21) x = -377/21

Therefore, the solution to the equation is x = -377/21.