Simplifying fractions can be a straightforward process if you follow the right steps. Here's how to simplify 168/25 in 5 easy steps:
Step 1: Check for Any Common Factors
Before simplifying, check if both the numerator (168) and the denominator (25) have any common factors. In this case, 168 and 25 do not have any common factors other than 1.
Step 2: Divide Both Numbers by Their Greatest Common Factor (GCF)
Since we found no common factors other than 1, we cannot simplify the fraction by dividing both numbers by their GCF. However, we can try dividing the numerator by the denominator to see if there's a simpler way to express the fraction.
Step 3: Divide the Numerator by the Denominator
Now, let's divide the numerator (168) by the denominator (25):
168 ÷ 25 = 6.72
This result is a decimal, but we can express it as a mixed number or an improper fraction.
Step 4: Express the Result as a Mixed Number or Improper Fraction
To express the result as a mixed number, we can write:
6 18/25
To express the result as an improper fraction, we can multiply the whole number part (6) by the denominator (25) and add the numerator (18):
6 × 25 = 150 150 + 18 = 168
So, the improper fraction is:
168/25
However, since we're looking for a simpler form, we can leave it as a mixed number:
6 18/25
Step 5: Check for Any Further Simplifications
We've expressed the fraction as a mixed number, but we can still check if there are any further simplifications. In this case, the fraction 18/25 is already in its simplest form.
And that's it! We've simplified the fraction 168/25 in 5 easy steps.
Gallery of Fraction Simplification:
FAQ:
What is the greatest common factor (GCF) of 168 and 25?
+The GCF of 168 and 25 is 1.
How can I simplify a fraction?
+To simplify a fraction, divide both the numerator and the denominator by their GCF.
What is a mixed number?
+A mixed number is a combination of a whole number and a fraction.
Do you have any other questions about simplifying fractions? Share your thoughts and ask your questions in the comments below!