Studdy AI Logo
Math

QuestionCalculate (−6+5−12)×(−3)\left(-6+\frac{5}{-12}\right) \times(-3).

Studdy Solution

STEP 1

Assumptions1. The problem is a simple arithmetic operation involving addition, division, and multiplication. . The order of operations must be followed, which is parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right). This is often remembered by the acronym PEMAS.

STEP 2

First, we need to simplify the expression inside the parentheses. This involves the operation of addition between -6 and 5−12\frac{5}{-12}.
−6+5−12-6+\frac{5}{-12}

STEP 3

Before we can add, we need to perform the division operation inside the fraction.5−12\frac{5}{-12}

STEP 4

Calculate the division.
−12=−12\frac{}{-12} = -\frac{}{12}

STEP 5

Now, we can perform the addition operation inside the parentheses.
−+−512- + -\frac{5}{12}

STEP 6

To add a fraction to a whole number, we need to convert the whole number to a fraction with the same denominator as the other fraction.−6=−7212-6 = -\frac{72}{12}

STEP 7

Now, we can add the fractions.
−7212+−512-\frac{72}{12} + -\frac{5}{12}

STEP 8

Calculate the addition.
−7212+−512=−7712-\frac{72}{12} + -\frac{5}{12} = -\frac{77}{12}

STEP 9

Now, we can perform the multiplication operation outside the parentheses.
−7712×−3-\frac{77}{12} \times -3

STEP 10

To multiply a fraction by a whole number, we multiply the numerator of the fraction by the whole number.
−77×−312-\frac{77 \times -3}{12}

STEP 11

Calculate the multiplication.
−77×−3=231-\frac{77 \times -3}{} = \frac{231}{}

STEP 12

Finally, we simplify the fraction by dividing the numerator by the denominator.
23112=19.25\frac{231}{12} =19.25The result of the expression (−6+5−12)×(−)\left(-6+\frac{5}{-12}\right) \times(-) is19.25.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord