Question

17/5 divided by 13/4

Answer 1

`(221)/(20)\\\\11(1)/(20)`

Both fractions are the same, just different ways of expressing the value.

Explanation:

1. Approach

To divide fractions, one must remember how to do so. First, one will reciprocate the second fraction. Reciprocating essentially means switching the places of the numerator and denominator. The numerator is the part of the fraction that is above the fraction bar, and the denominator is the part below. One will switch the places of these two numbers. Next, one will change the division sign to a multiplication sign. Finally, one will multiply the two fractions, multiply the numerator by the numerator, and the denominator by the denominator. Finally one will simplify by removing a common factor that both the numerator and the denominator of the new fraction have.

2. Solving

`(17)/(5)` ÷
`(13)/(4)`

Reciprocate, and change sign;

`(17)/(5) * (4)/(13)`

Multiply,

`(17)/(5)*(13)/(4)\\\\= (221)/(20)`

Convert to improper fractions;

`11(1)/(20)`

Answer 2

`(68)/(65)` or
`1(3)/(65)` or 1.046

Explanation:

To divide fractions: you keep the same fraction as it is, you change the divide sign to mutiplication, and you flip the numbers in the second fraction. Like so:

`(17)/(5)`×
`(4)/(13)`

Then, just multiply across the top to get: 68.

Then, multiply across the bottom to get: 65.

Your answer will be
`(68)/(65)`, you can simplify it to a mixed number
`1(3)/(65)`, or to a decimal 1.046.