Simplifying the Expression: 6 x 2/3 x 4/17 as a Fraction
In this article, we will explore how to simplify the expression 6 x 2/3 x 4/17 as a fraction. To do this, we need to follow the order of operations (PEMDAS) and apply the rules of fraction multiplication.
Step 1: Multiply the Fractions
First, let's multiply the two fractions:
2/3 x 4/17 = ?
To multiply fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom), like this:
(2 x 4) / (3 x 17) = 8 / 51
So, the result of multiplying the two fractions is 8/51.
Step 2: Multiply the Whole Number
Next, we need to multiply the whole number 6 with the fraction 8/51:
6 x 8/51 = ?
To multiply a whole number with a fraction, we can convert the whole number into a fraction by dividing it by 1, like this:
6 = 6/1
Then, we can multiply the two fractions:
(6 x 8) / (1 x 51) = 48 / 51
So, the result of multiplying the whole number with the fraction is 48/51.
Final Answer
Therefore, the simplified expression 6 x 2/3 x 4/17 as a fraction is:
48/51
This is the final answer.
