How do you simplify the complex fraction 1 over 4 plus 3 over 5 divided by 1 over 2 plus 1 over 5?

Answer 1

1/4 + 3/5//1/2 + 1/5

attack the numerator and denominator separately by adding the fractions. Need like denominators. numerator first, 20 looks good

5*1/5*4 + 4*3/4*5

5/20 + 12/20

= 17/20

-------------------your numerator

Now, the denominator. 10 looks good

5*1/5*2 + 2*1/2*5

5/10 + 2/10

= 7/10

--------------your denominator

now,

17/20//7/10

same as saying

17/20 * 10/7

= 170/140

reduces to, ( of course )

17/14

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