What is the value of the expression..just double checking my answer

**11/12**

What is the value of the expression..just double checking my answer

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x + y - z, x = 1/3, y = 3/4, z = 3/18

1/3 + 3/4 - 3/18

Lowest common denominator is 36

12/36 + 27/36 - 6/36 = 33/36 ----> **11/12**

Maisha K. | Algebra Tutor for more than 12 years!Algebra Tutor for more than 12 years!

Hi Chris,

To find the value of the expression, you need to **replace all the variables with their known values**:

x = 1/3 , y = 3/4, z= 3/18

Substituting the values, the expression reads 1/3 + 3/4 -3/18.

To simplify, you need to combine the fractions. This can be done once you **
find a common denominator.**You can find the lowest common denominator by listing the multiples of the denominators to search for the first common term.

Multiples of 18: 18 (Multiple of 3 not 4), 36.

36 is a multiple of 18 (18 x 1), a multiple of 4 (4 x 9), and a multiple of 3 (12 x 3).

Now, you will** create equivalent fractions that have the common denominator of 36.**

Starting with 1/3: to create a denominator of 36, you need multiply by a factor of 12. Multiply 12 on the numerator and denominator. 1/13 x 12/12 = 12/36

3/4: to create a denominator of 36, you need to multiply by a factor of 9. Multiply 9 on the numerator and denominator. 3/4 x 9/9 = 27/36

Finally 3/18: to create a denominator of 36, you need to multiply by a factor of 2. Multiply 2 on the numerator and denominator. 3/18 x 2/2 = 6/36

Your expression now reads 12/36 + 27/36 - 6/36.

You have 33/36.

This can be reduced by a factor of 3. **Divide the numerator and denominator by 3.**

33 / 3 = 11 and 36/3 = 12.

Your final answer is 11/12

I hope this matched your answer!

Rewrite the expression with parentheses.To equal the value of 10

9+36-3*11

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