
2/3у-1/2у=5 1/3-3 5/6


Ответы на вопрос









To solve the equation 2/3y - 1/2y = 5, let's first find a common denominator for the fractions on the left side of the equation. The least common multiple (LCM) of 3 and 2 is 6. So, we can rewrite the equation as:
(2/3)y - (1/2)y = 5
To make the denominators consistent, we'll convert the fractions to have a common denominator of 6:
(4/6)y - (3/6)y = 5
Now, we can combine the terms with y:
(4/6 - 3/6)y = 5
(1/6)y = 5
Now, to isolate y, we'll divide both sides of the equation by (1/6):
y = 5 / (1/6)
To divide by a fraction, we can multiply by its reciprocal:
y = 5 * (6/1)
y = 5 * 6
y = 30
So, the value of y that satisfies the equation is y = 30.
As for the expression 1/3 - 3 5/6, let's simplify it step by step:
1/3 - 3 5/6
To combine the whole number (3) and the fraction (5/6), we find a common denominator. The LCM of 3 and 6 is 6. So, we can rewrite 3 as 18/6:
1/3 - 18/6 + 5/6
Now, let's combine the fractions:
1/3 - 18/6 + 5/6 = (2/6) - (18/6) + (5/6)
Now, the denominators are consistent, and we can add the fractions:
= (-11/6)
So, 1/3 - 3 5/6 simplifies to -11/6.


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