Simplifying Fractions: 4/5 x 3/11 x 1/4
When it comes to fractions, multiplying them together can sometimes be a bit tricky. However, with the right steps, you can simplify even the most complicated fraction problems. In this article, we'll take a closer look at how to evaluate the expression 4/5 x 3/11 x 1/4 as a fraction.
Step 1: Multiply the Fractions
To start, let's multiply the three fractions together:
(4/5) × (3/11) × (1/4)
When multiplying fractions, we multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom), like so:
(4 × 3 × 1) / (5 × 11 × 4)
Step 2: Simplify the Numerator and Denominator
Now, let's simplify the numerator and denominator by multiplying the numbers together:
12 / 220
Step 3: Reduce the Fraction
Next, we need to reduce the fraction to its simplest form. To do this, we'll look for the greatest common divisor (GCD) of 12 and 220.
The GCD of 12 and 220 is 4. Divide both the numerator and denominator by 4:
12 ÷ 4 = 3
220 ÷ 4 = 55
So, the simplified fraction is:
3/55
And that's it! The expression 4/5 x 3/11 x 1/4 as a fraction is equal to 3/55.
