Multiplying Mixed Numbers: 1 3/4 x 2
This article will guide you through the steps of multiplying a mixed number, 1 3/4, by 2.
Understanding Mixed Numbers
A mixed number combines a whole number and a fraction. In our example, 1 3/4 represents one whole and three quarters.
Converting to an Improper Fraction
To make multiplication easier, we'll convert the mixed number into an improper fraction:
- Multiply the whole number by the denominator: 1 x 4 = 4
- Add the numerator: 4 + 3 = 7
- Keep the same denominator: 7/4
Now, our equation is (7/4) x 2.
Multiplying Fractions
To multiply fractions:
- Multiply the numerators: 7 x 2 = 14
- Multiply the denominators: 4 x 1 = 4
- Simplify if possible: 14/4 = 3 2/4 = 3 1/2
Therefore, 1 3/4 times 2 is equal to 3 1/2.