Question

1 5/7÷4/9 = what's the answer and how to write the problem out

Answer 1

The solution to given expression
`1(5)/(7) / (4)/(9)` is
`(27)/(7)` or 3.8571

Solution:

Given expression is:

`1(5)/(7) / (4)/(9)`

First let us convert the mixed fraction to improper fraction

Multiply the whole number by the denominator.

Add the answer from Step 1 to the numerator.

Write answer from Step 2 over the denominator.

Thus we get,

`1(5)/(7) = (1 * 7 + 5)/(7) = (12)/(7)`

Now the given expression becomes,

`1(5)/(7) / (4)/(9) = (12)/(7) / (4)/(9)`

Convert the problem to multiplication by changing the division sign to multiplication and inverting the fraction to the right of the sign

`(12)/(7) / (4)/(9) = (12)/(7) * (9)/(4)`

Multiply the numerators, multiply the denominators, and leave the product in factored form

`(12)/(7) * (9)/(4) = (27)/(7)`

In decimal form we get,

`(27)/(7) = 3.8571`

Thus the solution to given expression is
`(27)/(7)` or 3.8571