What is 30/375? This question is asking for the fraction 30/375 simplified, or expressed as a percentage or decimal. Let's break down how to solve this:
1. Simplifying the Fraction:
To simplify 30/375, we find the greatest common divisor (GCD) of 30 and 375. The GCD is 15. Dividing both the numerator (30) and the denominator (375) by 15, we get:
30 ÷ 15 = 2 375 ÷ 15 = 25
Therefore, the simplified fraction is 2/25.
2. Converting to a Decimal:
To convert the fraction 2/25 to a decimal, we divide the numerator by the denominator:
2 ÷ 25 = 0.08
So, the decimal equivalent is 0.08.
3. Converting to a Percentage:
To convert the decimal 0.08 to a percentage, we multiply by 100:
0.08 x 100 = 8%
Therefore, 30/375 is equal to 8%.
In summary: 30 out of 375 is equal to 2/25, 0.08, or 8%. The simplified fraction provides the most concise mathematical representation, while the decimal and percentage offer readily understandable interpretations in different contexts.
