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Simplify the following expression draw diagrams or words to show your thinking 4(-2 1/3) + 7 1/6

User Amaan
by
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1 Answer

1 vote

Answer: -1

Explanation:

I can't draw diagrams, but I can help you simplify the expression.

First, convert the mixed number -2 1/3 to an improper fraction:

-2 1/3 = -2 + 1/3 = -6/3 + 1/3 = -7/3

Now, the expression becomes 4 * (-7/3) + 7 1/6.

Multiply 4 by -7/3:

4 * (-7/3) = -28/3

So the expression becomes -28/3 + 7 1/6.

To add -28/3 and 7 1/6, find a common denominator, which is 6.

Convert -28/3 to a fraction with a denominator of 6:

-28/3 = -56/6

Now the expression becomes -56/6 + 7 1/6.

Adding -56/6 and 7 1/6:

-56/6 + 7 1/6 = -49/6 + 7 1/6

Now, add the whole numbers and the fractions separately:

-49/6 + 7 + 1/6 = -49/6 + 42/6 + 1/6 = -49/6 + 43/6 = -6/6 = -1

So the simplified expression is -1.

User Zelphir Kaltstahl
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7.5k points