3/20 as a Percent

3/20 is what percent of 12/25?

Understanding Fractions: How to Convert 3/20 into a Percentage:

When it comes to understanding fractions and percentages, converting one to the other is a fundamental skill. In this blog post, we’ll explore how to convert the fraction 3/20 into a percentage, a useful conversion in various mathematical and real-life applications.

Converting 3/20 to a Percentage:

The fraction 3/20 represents three parts out of twenty, and to express this as a percentage, we need to find out how much it is out of 100, since “percent” means per hundred.

Method 1: Scaling Up to 100:

To convert a fraction to a percentage, we can scale the denominator (the bottom number of the fraction) up to 100. Here’s how it’s done for 3/20:

1. Divide 100 by the denominator (20):

   $$100÷20=5$$

2. Multiply both the numerator (3) and the denominator (20) by this number (5):

   $$3\times 5=15$$

   and

   $$20\times 5=100$$

3. Now, we have a new fraction:

   10015​

4. This means that 3:20, as a percentage, is 15%.

Method 2: Converting to Decimal First:

Another way to convert a fraction to a percentage is by first turning it into a decimal:

1. Divide the numerator by the denominator:

   203​=0.15

2. Multiply the decimal by 100 to convert it to a percentage:

   $$0.15\times 100=15$$

So, using this method, we also find that 3:20 is equivalent to 15%.

Conclusion:

Whether you’re dealing with fractions in a classroom setting or calculating discounts while shopping, knowing how to convert fractions to percentages is incredibly handy. The fraction 3/20 is equal to 15%, and now you know two different methods to arrive at that answer. With practice, these conversions will become second nature.