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what is 2 and 1/4 times 1 and 1/3

 Jun 19, 2016
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what is 2 and 1/4 times 1 and 1/3

 

2 1/4 x 1 1/3 =

Simplify the following:
(2+1/4) (1+1/3)

 

Put 1+1/3 over the common denominator 3. 1+1/3  =  3/3+1/3:
(2+1/4) 3/3+1/3

 

3/3+1/3  =  (3+1)/3:
(2+1/4) (3+1)/3

 

3+1 = 4:
(2+1/4)×4/3

 

Put 2+1/4 over the common denominator 4. 2+1/4  =  (4×2)/4+1/4:
4/3 (4×2)/4+1/4

 

4×2  =  8:
((8/4+1/4)×4)/(3)

 

8/4+1/4  =  (8+1)/4:
4/3 (8+1)/4

 

8+1 = 9:
9/4×4/3

 

9/4×4/3 = (9×4)/(4×3):
(9×4)/(4×3)

 

(9×4)/(4×3) = 4/4×9/3 = 9/3:
9/3

 

The gcd of 9 and 3 is 3, so 9/3 = (3×3)/(3×1) = 3/3×3 = 3:
Answer: |=3

 Jun 19, 2016

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