Simplifying the Fraction: 5/6 x 9/10
When multiplying fractions, we need to follow certain rules to arrive at the correct answer. In this article, we will explore how to multiply the fractions 5/6 and 9/10.
The Problem
The problem at hand is to multiply 5/6 and 9/10. To do this, we need to follow the rule of multiplying fractions, which is:
Multiplying Fractions Rule
When multiplying fractions, we multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom), and then simplify the resulting fraction.
Step 1: Multiply the Numerators
In our problem, the numerators are 5 and 9. To multiply them, we simply multiply the numbers:
5 x 9 = 45
Step 2: Multiply the Denominators
Next, we need to multiply the denominators, which are 6 and 10. Again, we simply multiply the numbers:
6 x 10 = 60
Step 3: Write the Resulting Fraction
Now, we write the resulting fraction by putting the product of the numerators over the product of the denominators:
45/60
Step 4: Simplify the Fraction (Optional)
In this case, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 15.
45 ÷ 15 = 3 60 ÷ 15 = 4
So, the simplified fraction is:
3/4
Therefore, the result of multiplying 5/6 and 9/10 is 3/4.
I hope this article has helped you understand how to multiply fractions and simplify the resulting fraction. If you have any more questions or need further clarification, feel free to ask!