Simplifying Multiplication of Fractions: 11/12 x 4/5 x 3/4
When dealing with fractions, multiplication can be a bit tricky. However, with the right steps and understanding of the concept, it can be simplified and solved easily. In this article, we will explore how to multiply three fractions together, specifically 11/12 x 4/5 x 3/4.
Understanding the Concept of Multiplying Fractions
To multiply fractions, we need to follow a simple rule: multiply the numerators (the numbers on top) together, and multiply the denominators (the numbers on the bottom) together. Then, simplify the resulting fraction, if possible.
Let's Multiply: 11/12 x 4/5 x 3/4
To multiply these three fractions together, we will follow the rule mentioned above.
Step 1: Multiply the Numerators
First, we multiply the numerators together:
11 × 4 × 3 = 132
Step 2: Multiply the Denominators
Next, we multiply the denominators together:
12 × 5 × 4 = 240
Step 3: Write the Result as a Fraction
Now, we write the result as a fraction, with the product of the numerators as the numerator and the product of the denominators as the denominator:
132/240
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 (GCD), which is 12.
132 ÷ 12 = 11 240 ÷ 12 = 20
So, the simplified fraction is:
11/20
Conclusion
In conclusion, to multiply three fractions together, we need to follow the simple rule of multiplying the numerators and denominators separately and then writing the result as a fraction. In this case, the result of multiplying 11/12 x 4/5 x 3/4 is 11/20.
