Simplifying Fractions: 64/88 in Fraction Form
Simplifying fractions is an essential skill in mathematics, and in this article, we will explore how to simplify the fraction 64/88.
What is Simplifying Fractions?
Simplifying fractions means reducing a fraction to its simplest form, where the numerator and denominator have no common factors other than 1. This is done to make the fraction easier to work with and understand.
Step-by-Step Simplification of 64/88
To simplify the fraction 64/88, we need to find the greatest common divisor (GCD) of both the numerator and denominator.
Step 1: Find the Factors of 64 and 88
- Factors of 64: 1, 2, 4, 8, 16, 32, 64
- Factors of 88: 1, 2, 4, 8, 11, 22, 44, 88
Step 2: Find the Greatest Common Divisor (GCD)
The greatest common divisor of 64 and 88 is 8.
Step 3: Divide Both the Numerator and Denominator by the GCD
Divide both the numerator and denominator by the GCD, which is 8:
- 64 ÷ 8 = 8
- 88 ÷ 8 = 11
Simplified Fraction: 8/11
Therefore, the simplified form of the fraction 64/88 is 8/11.
Conclusion
In conclusion, simplifying fractions is an important concept in mathematics, and by following the steps outlined above, we can simplify fractions to their simplest form. In this case, we simplified the fraction 64/88 to 8/11.
