SOLUTION: Divide: {{{5&1/2}}}{{{"÷"}}}{{{4&3/5}}} Write the result in simplest form

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Question 330498: Divide:
5%261%2F2%22%F7%224%263%2F5
Write the result in simplest form

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!


5%261%2F2%22%F7%224%263%2F5

Change each mixed number to an improper fraction 
by this rule: AB%2FC%29%22%22=%22%22%28CxA%2BB%29%2FC

%282x5%2B1%29%2F2%22%F7%22%285x4%2B3%29%2F5

Do the multiplications in the numerators:

%2810%2B1%29%2F2%22%F7%22%2820%2B3%29%2F5

Do the additions in the numerators:

11%2F2%22%F7%2223%2F5

Invert the second fraction and change the division symbol to a 
multiplication symbol:

11%2F2%22x%225%2F23

Multiply the two numerators,  11x5=55
Multiply the two denominators,  2x23=46

Answer as improper fraction:  55%2F46

Change to a mixed number by this rule:

1. Divide denominator into numerator

    1
46)55
   46
    9

2. Use rule  QUOTIENT%2BREMAINDER%2FDIVISOR

Answer:  1%269%2F46

Edwin