Question

5/6-2/3+1/4=. 1/2+x=5/6. y-1/5=3/10. 5/6-c=1/3

Answer 1

=10/12-8/12+3/12=2/12+3/12=6/12=1/2

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х=5/6-1/2

х=5/6-3/6

х=2/6

х=1/3

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у=3/10+1/5

у=3/10+2/10

у=5/10

у=1/2

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с=5/6-1/3

с=5/6-2/6

с=3/6

с=1/2

Answer 2

Ответ:5/12 , x=1/3, y=1/2 , c=1/2

Пошаговое объяснение:

Просто привести к общему знаменателю. Т.е. домножить всю дробь, чтобы знаменатель был одинаковый и отнимать/складывать числители. Потом сокращать дроби, если это возможно

Answer 3

Let's solve each equation step by step:

1. 5/6 - 2/3 + 1/4

First, we need to find a common denominator for all three fractions. The smallest number that all three denominators (6, 3, 4) can divide into is 12.

So, we'll convert each fraction to have a denominator of 12:

5/6 = 10/12 2/3 = 8/12 1/4 = 3/12

Now we can combine the fractions:

10/12 - 8/12 + 3/12 = 5/12

Therefore, 5/6 - 2/3 + 1/4 = 5/12.

2. 1/2 + x = 5/6

To isolate the variable x, we need to subtract 1/2 from both sides:

1/2 + x - 1/2 = 5/6 - 1/2

Simplifying the left side, we get:

x = 5/6 - 1/2

To find a common denominator for 5/6 and 1/2, we can multiply the denominators: 6 x 2 = 12.

Now we can convert both fractions to have a denominator of 12:

5/6 = 10/12 1/2 = 6/12

Substituting these values, we get:

x = 10/12 - 6/12 = 4/12 = 1/3

Therefore, x = 1/3.

3. y - 1/5 = 3/10

To isolate the variable y, we need to add 1/5 to both sides:

y - 1/5 + 1/5 = 3/10 + 1/5

Simplifying the left side, we get:

y = 3/10 + 1/5

To find a common denominator for 3/10 and 1/5, we can multiply the denominators: 10 x 5 = 50.

Now we can convert both fractions to have a denominator of 50:

3/10 = 15/50 1/5 = 10/50

Substituting these values, we get:

y = 15/50 + 10/50 = 25/50 = 1/2

Therefore, y = 1/2.

4. 5/6 - c = 1/3

To isolate the variable c, we need to subtract 5/6 from both sides:

5/6 - c - 5/6 = 1/3 - 5/6

Simplifying the left side, we get:

-c = 1/3 - 5/6

To find a common denominator for 1/3 and 5/6, we can multiply the denominators: 3 x 6 = 18.

Now we can convert both fractions to have a denominator of 18:

1/3 = 6/18 5/6 = 15/18

Substituting these values, we get:

-c = 6/18 - 15/18 = -9/18 = -1/2

To solve for c, we need to divide both sides by -1:

c = 1/2

Therefore, c = 1/2.