3 1/5 x 1 1/8 as a Fraction
To evaluate the expression 3 1/5 x 1 1/8 as a fraction, we need to follow the order of operations (PEMDAS) and convert the mixed numbers to improper fractions.
Step 1: Convert Mixed Numbers to Improper Fractions
First, let's convert the mixed numbers to improper fractions.
- 3 1/5 = (3 × 5 + 1)/5 = 16/5
- 1 1/8 = (1 × 8 + 1)/8 = 9/8
Step 2: Multiply the Fractions
Now, let's multiply the two fractions:
- 16/5 × 9/8 = (16 × 9)/(5 × 8) = 144/40
Step 3: Simplify the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
- GCD of 144 and 40 is 8
- Divide both numerator and denominator by 8: 144 ÷ 8 = 18 and 40 ÷ 8 = 5
- So, the simplified fraction is 18/5
Therefore, 3 1/5 x 1 1/8 as a fraction is equal to 18/5.
