Evaluating the Expression: 5/6 x 1/3 x 3/4 as a Fraction
In this article, we will evaluate the expression 5/6 x 1/3 x 3/4 and simplify it to its simplest form.
Step 1: Multiply the Fractions
To evaluate the expression, we need to multiply the three fractions together. To do this, we multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom), like this:
(5/6) × (1/3) × (3/4) = ?
Step 2: Multiply the Numerators
First, we multiply the numerators:
5 × 1 × 3 = 15
Step 3: Multiply the Denominators
Next, we multiply the denominators:
6 × 3 × 4 = 72
Step 4: Write the Product as a Fraction
Now we can write the product of the numerators over the product of the denominators:
15/72
Step 5: Simplify the Fraction
Finally, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 15 and 72 is 3, so we can divide both numbers by 3:
15 ÷ 3 = 5 72 ÷ 3 = 24
So, the simplified fraction is:
5/24
Conclusion
Therefore, the expression 5/6 x 1/3 x 3/4 simplifies to 5/24.
