Question

1 divided by 1 4/5 what does it equal!? Please help!

Answer 1

5 over 9

Explanation:

`\mathrm{Rule:}\:\:a=(a)/(a)\\1 = (1)/(1)\\=(1)/(1) / (9)/(5)\left(1(4)/(5)\right)\\= (1 * 5)/(1 * 9)\\=(5)/(9)`

Answer 2

5/9

Explanation:

Convert 1 4/5 to improper fraction

1 4/5 = (1 x 5 + 4)/4 = 9/5

When you divide by a fraction, it is the same as multiplying by the reciprocal of the function

Reciprocal of 9/5 = 5/9 (because 9/5 x 5/9 = 1 and this the defn)

So 1 ÷ 9/5 = 1 x 5/9 = 5/9