When simplified, what fraction represents 51/9?

To find the simplified form of the fraction 51/9, you need to divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 51 and 9 is 3.

Dividing the numerator and denominator by 3:

1. For the numerator: 51 ÷ 3 = 17

2. For the denominator: 9 ÷ 3 = 3

This gives us the simplified fraction 17/3.

Now, if we express 51/9 as a mixed number, we can determine how many whole parts there are. When you divide 51 by 9, the quotient is 5 with a remainder of 6. This means that 51/9 can also be represented as:

5 (whole number) + 6/9 (fractional part).

Now further simplifying 6/9 gives us 2/3 when divided by 3, resulting in a mixed number of 5 and 2/3 or 5 + 2/3.

When expressed as a single fraction, this gives us 5 2/3 = 17/3, which still ultimately comes back to the calculation of