1 3/4 x 2 1/2 as a Fraction: A Step-by-Step Guide
When it comes to multiplying mixed numbers, it can be a bit tricky. However, with the right approach, you can easily multiply 1 3/4 and 2 1/2 and express the result as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To multiply mixed numbers, we need to convert them to improper fractions first. Let's do that:
- 1 3/4 = (1 × 4) + 3/4 = 7/4
- 2 1/2 = (2 × 2) + 1/2 = 5/2
Step 2: Multiply the Fractions
Now, we can multiply the two fractions:
(7/4) × (5/2) = ?
To multiply fractions, we multiply the numerators (numbers on top) and denominators (numbers at the bottom) separately:
Numerator: 7 × 5 = 35 Denominator: 4 × 2 = 8
So, the result of the multiplication is:
35/8
The Final Answer
Therefore, 1 3/4 x 2 1/2 is equal to 35/8 as a fraction.