12 2/5 x 6 2/3 divided by 2/3

Question

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Answer 1

Hi Trinity,

 

Same thing as the previous problem. When you divide by 2/3, you are doing the same as multiplying by 3/2. So let's first rewrite the mixed fractions into improper fractions.

 

13 2/5 = 67 / 5   (13 * 5 + 2)

 

6 2/3 = 20 / 3   (6 * 3 + 2)

 

Now we multiply everything together, since this expression follows PEMDAS (parentheses, exponents, multiplication/division, addition/subtraction) or the order of operations:

 

(67 / 5) * (20 / 3) * (3 / 2)

 

(1340 / 15) * (3 / 2)

 

4020 / 30   (Divide by 10.)

 

Simplify:

 

402 / 3   (Divide by 3.)

 

134

 

Hope this helps!

Answer 2

12 2/5 x 6 2/3 ÷ 2/3

62/5 x 20/3 ÷ 2/3        convert to improper fraction

62/5 x 20/3 x 3/2        divide fraction, multiply by inverse

 

Can you multiply these fractions?