Divide: the reduce to lowest terms 1 4/7 divided by 4/10

To divide by a fraction, invert the fraction and multiply.

11/7 * 10/4 = ?

I am having the same problem. I did like above and came up with 110/28. Now I don't know what to do. My answered just confuse me

3-13/14
5-13/14
4-13/14
6-13/14

Please Help

To divide fractions, we need to follow a few steps:

Step 1: Express the mixed number as an improper fraction.
To do this, multiply the denominator (7) by the whole number (1), and then add the numerator (4). So, 1 4/7 can be expressed as (7*1 + 4) / 7, which equals 11/7.

Step 2: Convert the division into multiplication.
Instead of dividing by a fraction, we can multiply by its reciprocal. Thus, we need to flip the second fraction, which is 4/10, to become 10/4.

Step 3: Multiply the numerators and denominators.
Multiply the numerators (11 * 10) and the denominators (7 * 4) together, resulting in 110/28.

Step 4: Reduce the fraction to its simplest form.
To reduce the fraction to its lowest terms, we find the greatest common divisor (GCD) of the numerator and denominator, which is 2. Divide both the numerator and denominator by the GCD to get the simplified fraction. In this case, dividing 110 by 2 gives us 55, and dividing 28 by 2 gives us 14. Therefore, 110/28 reduces to 55/14.

So, the simplified form of 1 4/7 divided by 4/10 is 55/14.