Multiplying Fractions: 1 2/3 x 1/4
This article will guide you through multiplying the mixed number 1 2/3 by the fraction 1/4.
Converting Mixed Numbers
First, we need to convert the mixed number 1 2/3 into an improper fraction. To do this, we follow these steps:
- Multiply the whole number (1) by the denominator (3): 1 x 3 = 3
- Add the numerator (2): 3 + 2 = 5
- Keep the same denominator (3): 5/3
Now we have the equivalent improper fraction 5/3.
Multiplying Fractions
Next, we multiply the two fractions: 5/3 and 1/4.
To multiply fractions, we simply multiply the numerators and the denominators:
(5/3) x (1/4) = (5 x 1) / (3 x 4) = 5/12
Result
Therefore, 1 2/3 x 1/4 is equal to 5/12.