how is 3 1/2 times 11 equal 38 1/2

Question

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Answer 1

Another way to look at this is:

3 1/2 is actually 3 + 1/2

 

(11)(3 + 1/2) = 11(3) + 11(1/2) = 33 + 11/2

 

= 33 + 5 1/2 = 38 1/2

Answer 2

1.  convert three and one half to improper fraction, 7/2

2. multiplying by 11 means that eleven multiplies the seven; answer is 77/2.

3. the simplification now gives the answer quoted.

Answer 3

In decimal form,

 

3 1/2 = 3.5

 

3.5 x 11 = 38.5 = 38 1/2