Simplifying the Fraction: 11/12 × 4/5 × 3/4
In this article, we will explore how to simplify the fraction 11/12 × 4/5 × 3/4.
Step 1: Multiply the Numerators
To start, we need to multiply the numerators (the numbers on top) together:
11 × 4 × 3 = 132
Step 2: Multiply the Denominators
Next, we need to multiply the denominators (the numbers on the bottom) together:
12 × 5 × 4 = 240
Step 3: Write the Product as a Fraction
Now, we can write the product of the numerators over the product of the denominators as a fraction:
132/240
Step 4: Simplify the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of 132 and 240.
The GCD of 132 and 240 is 12. Therefore, we can divide both the numerator and the denominator by 12:
132 ÷ 12 = 11 240 ÷ 12 = 20
So, the simplified fraction is:
11/20
And that's it! We have successfully simplified the fraction 11/12 × 4/5 × 3/4 to 11/20.
