Solving the Multiplication Problem: 1 3/4 x 4 1/6 as a Fraction
When dealing with mixed numbers and fractions, multiplication can be a bit tricky. However, with the right steps, you can easily solve the problem of 1 3/4 x 4 1/6 as a fraction.
Step 1: Convert the Mixed Numbers to Improper Fractions
To multiply mixed numbers, we need to convert them to improper fractions first. Let's do that for both numbers:
- 1 3/4 = (1 × 4) + 3/4 = 7/4
- 4 1/6 = (4 × 6) + 1/6 = 25/6
Step 2: Multiply the Fractions
Now that we have improper fractions, we can multiply them:
(7/4) × (25/6) = ?
To multiply fractions, we multiply the numerators (numbers on top) and denominators (numbers at the bottom) separately:
- Numerator: 7 × 25 = 175
- Denominator: 4 × 6 = 24
So, the product of the fractions is:
175/24
The Result: 1 3/4 x 4 1/6 as a Fraction
Therefore, the product of 1 3/4 and 4 1/6 as a fraction is:
175/24
Now you can simplify this fraction if possible, or leave it in its current form depending on the requirements of your problem.
