Simplifying the Expression: 1/2x4/3x3/5 as a Fraction
In mathematics, simplifying expressions is an essential skill to master. In this article, we will explore how to simplify the expression 1/2x4/3x3/5 as a fraction.
Breaking Down the Expression
Let's break down the given expression:
1/2x4/3x3/5
We can see that this expression consists of several fractions multiplied together. To simplify it, we need to follow the order of operations (PEMDAS) and multiply the numerators and denominators separately.
Step 1: Multiply the Numerators
First, let's multiply the numerators:
1 × 4 × 3 × 3 × 5 = 180
Step 2: Multiply the Denominators
Next, let's multiply the denominators:
2 × 1 × 3 × 1 × 5 = 30
Step 3: Write the Simplified Fraction
Now, we can write the simplified fraction:
180/30
Step 4: Simplify the Fraction (Optional)
We can further simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD is 30.
180 ÷ 30 = 6
30 ÷ 30 = 1
So, the final simplified fraction is:
6/1 = 6
Therefore, the simplified expression 1/2x4/3x3/5 as a fraction is 6.
