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Simplifying fractions is the process of reducing a fraction to its simplest form, where the numerator and the denominator share no common factors other than 1. For example, in our exercise, the fraction 7/100 is already simplified. Why? Because 7 is a prime number and 100 is not divisible by 7. This means there are no common factors between these numbers.

Let's dive deeper. Consider a fraction like 18/24. To simplify it, we need to find the greatest common divisor (GCD) of both numbers. Here, the GCD of 18 and 24 is 6. To simplify, divide both the numerator and the denominator by 6, giving us 3/4. In our exercise, since the GCD of 7 and 100 is 1, the fraction is already in its simplest form.

Converting a percent to a fraction is an essential skill in basic math. The term percent itself means 'per hundred.' So, to convert 7% to a fraction, you write it as 7/100.

Here's a straightforward guide to help:

• First, write the percentage as a fraction with 100 in the denominator. For 7%, that's 7/100.
• Next, check if the fraction can be simplified. This involves examining whether the numerator and the denominator have any common factors apart from 1. For our fraction, 7 is a prime number and has no other divisors apart from 1 and 7. Since 100 is not divisible by 7, the fraction remains in its simplest form.

This method can be applied to any percentage. For example, to convert 50% to a fraction, write 50/100. Then, simplify by dividing both the numerator and the denominator by 50, resulting in 1/2.

Basic math skills are fundamental in everyday life as well as in academic settings. Among these essential skills are operations such as converting between percentages, decimals, and fractions, as well as simplifying fractions.

In our example, we moved from percent to fraction by understanding what a percent means—out of 100. These skills are made easier through practice and familiarization. Simplifying fractions, on the other hand, enhances critical thinking and problem-solving skills.

Here are some tips to master these skills:

• Practice regularly to improve speed and accuracy.
• Remember the basic mathematical principles such as GCD for simplification.
• Use real-world examples to understand the practical application of these skills, such as calculating discounts during shopping (like converting a 20% discount to savings in dollars).