** Evaluating the Expression: 2 1/7 x 3 1/3 as a Fraction **
In this article, we will evaluate the expression 2 1/7 x 3 1/3 as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
Before we can multiply the two numbers, we need to convert them into improper fractions.
2 1/7 = (2 x 7) + 1 / 7 = 15 / 7
3 1/3 = (3 x 3) + 1 / 3 = 10 / 3
Step 2: Multiply the Fractions
Now that we have the improper fractions, we can multiply them:
(15 / 7) x (10 / 3) = ?
To multiply fractions, we multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom), like this:
(15 x 10) / (7 x 3) = 150 / 21
Step 3: Simplify the Fraction
The resulting fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 150 and 21 is 3. So, we divide both numbers by 3:
150 ÷ 3 = 50 21 ÷ 3 = 7
The simplified fraction is:
50 / 7
Therefore, the expression 2 1/7 x 3 1/3 as a fraction is equal to 50 / 7.
