Divide 6/25 by 3/10: A Step-by-Step Guide
Are you struggling to divide fractions? Don't worry, we've got you covered! In this article, we'll walk you through the process of dividing 6/25 by 3/10.
Understanding the Problem
Before we dive into the solution, let's break down the problem:
6/25: This is the dividend, the number being divided.
3/10: This is the divisor, the number by which we are dividing.
The Divide Symbol
To divide fractions, we use the obelus symbol (/) or the "divided by" symbol. In this case, we'll use the obelus symbol to represent the division:
6/25 ÷ 3/10
Step 1: Invert the Divisor
To divide fractions, we need to invert the divisor (i.e., flip the numerator and denominator). In this case, we'll invert 3/10:
3/10 = 10/3
Step 2: Multiply
Now, we'll multiply the dividend by the inverted divisor:
(6/25) × (10/3)
Step 3: Simplify
To simplify the fraction, we'll multiply the numerators and denominators:
(6 × 10) / (25 × 3) = 60 / 75
Step 4: Simplify Further
We can simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD is 15:
60 ÷ 15 = 4 75 ÷ 15 = 5
So, the final result is:
4/5
Conclusion
In conclusion, dividing 6/25 by 3/10 results in a final answer of 4/5. By following these step-by-step instructions, you can confidently tackle fraction division problems!
