Question

1+\left(-\dfrac{2}{3}\right)-(-m)1+(−

3
2
​
)−(−m)1, plus, left parenthesis, minus, start fraction, 2, divided by, 3, end fraction, right parenthesis, minus, left parenthesis, minus, m, right parenthesis where m = \dfrac{9}{2}m=
2
9
​
m, equals, start fraction, 9, divided by, 2, end fraction.

Answer 1

The expression 1 + (-2/3) - (-m) simplifies to 29/6 when substituting the given value of m = 9/2.

Step-by-step explanation:

The question involves simplifying a given algebraic expression and substituting the value of a variable m into it. Let's break down the expression step by step: the initial expression is 1 + (-2/3) - (-m), where m is given as 9/2. When we simplify the expression by substituting the value of m, we get:

1 - 2/3 + 9/2

To add these numbers, we need a common denominator, which is 6 in this case. When we convert each term to have a denominator of 6, we obtain:

6/6 - 4/6 + 27/6

Adding these fractions together, we get:

(6 - 4 + 27) / 6 = 29/6

Therefore, the simplified result of the given expression is 29/6.