Math Problem Statement

-3(7/6)+1/2

Solution

Let's solve the expression step by step:

3(76)+12-3 \left(\frac{7}{6}\right) + \frac{1}{2}

Step 1: Multiply 3-3 by 76\frac{7}{6}

3×76=216-3 \times \frac{7}{6} = \frac{-21}{6}

Step 2: Simplify 216\frac{-21}{6}

216=72\frac{-21}{6} = -\frac{7}{2}

Step 3: Add 72-\frac{7}{2} and 12\frac{1}{2}

Since both fractions have the same denominator, you can directly add the numerators: 72+12=7+12=62=3-\frac{7}{2} + \frac{1}{2} = \frac{-7 + 1}{2} = \frac{-6}{2} = -3

So, the result of the expression is: 3-3

Would you like more details on any part of the calculation?

Related questions:

  1. How do you handle fractions when multiplying by a negative number?
  2. How do you add fractions with different denominators?
  3. How do you simplify fractions after addition or multiplication?
  4. How does multiplying by a negative number affect the overall sign?
  5. How would the result change if the signs in the expression were different?

Tip:

Always simplify fractions whenever possible to make calculations easier!

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Fractions
Negative Numbers

Formulas

Multiplying a number by a fraction: a × (b/c) = (a×b)/c
Adding fractions with the same denominator: (a/b) + (c/b) = (a+c)/b

Theorems

Multiplying by a negative number reverses the sign
Simplification of fractions

Suitable Grade Level

Grades 6-8