27/63 as a Fraction: Simplification and Equivalent Ratios
What is 27/63 as a Fraction?
The given expression, 27/63, is a fraction. A fraction is a way to represent a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number) separated by a horizontal line or a forward slash.
In this case, the numerator is 27, and the denominator is 63.
Simplifying the Fraction
To simplify a fraction, we need to find the greatest common divisor (GCD) of both the numerator and the denominator and divide both numbers by the GCD.
The GCD of 27 and 63 is 9.
Simplified Fraction:
27 ÷ 9 = 3 63 ÷ 9 = 7
So, the simplified fraction is 3/7.
Equivalent Ratios
Equivalent ratios are fractions that have the same value when simplified. Here are a few equivalent ratios for 27/63:
- 9/21
- 18/42
- 36/84
These ratios all simplify to 3/7, which is the same as the original fraction 27/63.
Real-World Applications
Fractions are used in various aspects of everyday life, such as:
- Cooking: Recipes often require fractional amounts of ingredients.
- Measurement: Lengths, areas, and volumes can be expressed as fractions.
- Finance: Interest rates, investments, and discounts can be represented as fractions.
In conclusion, 27/63 as a fraction can be simplified to 3/7, which has various equivalent ratios. Understanding fractions is essential in many real-world applications.
