Simplify 15 3/5 In 1 Easy Step

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Simplifying fractions can be a breeze. Here's how to simplify 15 3/5 in one easy step:

What is Simplifying a Fraction?

Simplifying a fraction means reducing it to its lowest terms by dividing both the numerator and the denominator by the greatest common divisor (GCD). This makes the fraction easier to work with and understand.

Step 1: Convert the Mixed Number to an Improper Fraction

To simplify the mixed number 15 3/5, we need to convert it to an improper fraction. To do this, multiply the whole number (15) by the denominator (5) and add the numerator (3).

15 × 5 = 75 75 + 3 = 78

So, the improper fraction is 78/5.

Find the Greatest Common Divisor (GCD)

To simplify the fraction 78/5, we need to find the greatest common divisor (GCD) of 78 and 5. The GCD is the largest number that divides both numbers without leaving a remainder.

The factors of 78 are: 1, 2, 3, 6, 9, 13, 18, 26, 39, 78 The factors of 5 are: 1, 5

The greatest common divisor is 1.

Simplify the Fraction

Since the GCD is 1, we cannot simplify the fraction 78/5 any further. Therefore, the simplified fraction is still 78/5.

However, we can convert it back to a mixed number by dividing the numerator by the denominator:

78 ÷ 5 = 15 with a remainder of 3

So, the simplified mixed number is 15 3/5, which is the same as the original mixed number.

Conclusion: You're Done!

And that's it! You've successfully simplified the mixed number 15 3/5 in one easy step. Remember, simplifying fractions is all about finding the greatest common divisor and dividing both the numerator and the denominator by it.

What's Next?

Now that you've mastered simplifying fractions, try your hand at adding, subtracting, multiplying, and dividing fractions. With practice, you'll become a pro at working with fractions in no time!