Evaluating the Expression: 4 1/6 x 2 4/5 as a Fraction
In this article, we will evaluate the expression 4 1/6 x 2 4/5 as a fraction. To do this, we need to follow the order of operations (PEMDAS) and convert the mixed numbers to improper fractions before multiplying.
Converting Mixed Numbers to Improper Fractions
First, let's convert the mixed numbers to improper fractions:
- 4 1/6 = (4 × 6) + 1 = 25/6
- 2 4/5 = (2 × 5) + 4 = 14/5
Multiplying the Fractions
Now, we can multiply the two fractions:
- (25/6) × (14/5) = ?
To multiply fractions, we multiply the numerators (25 and 14) and multiply the denominators (6 and 5), then simplify the resulting fraction:
- (25 × 14) / (6 × 5) = 350 / 30
Simplifying the Fraction
We can simplify the fraction 350/30 by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 10:
- 350 ÷ 10 = 35
- 30 ÷ 10 = 3
So, the simplified fraction is:
35/3
Therefore, the expression 4 1/6 x 2 4/5 as a fraction is equal to 35/3.
