77/84 as a fraction in simplest form
To simplify the fraction 77/84, we need to find the greatest common factor (GCF) of the numerator (77) and the denominator (84).
1. Finding the GCF:
- Factorize 77: 1, 7, 11, 77
- Factorize 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The greatest common factor of 77 and 84 is 7.
2. Dividing by the GCF:
- Divide both the numerator and denominator by 7:
- 77 ÷ 7 = 11
- 84 ÷ 7 = 12
3. The Simplest Form:
Therefore, 77/84 simplified to its simplest form is 11/12.
