Multiplying Fractions: 1 1/6 x 1/4
This article will walk through the steps of multiplying the mixed number 1 1/6 by the fraction 1/4.
Understanding Mixed Numbers
A mixed number like 1 1/6 represents a whole number (1) plus a fraction (1/6). To multiply it by a fraction, we first need to convert it into an improper fraction.
Converting to an Improper Fraction
- Multiply the whole number by the denominator: 1 x 6 = 6
- Add the numerator: 6 + 1 = 7
- Keep the same denominator: 7/6
Now we have 1 1/6 represented as 7/6.
Multiplying Fractions
To multiply fractions, we simply multiply the numerators and the denominators:
- Numerators: 7 x 1 = 7
- Denominators: 6 x 4 = 24
This gives us 7/24.
Simplifying the Answer
The fraction 7/24 is already in its simplest form, meaning it cannot be reduced further.
Conclusion
Therefore, 1 1/6 x 1/4 = 7/24.