Multiplying Mixed Numbers: 1 2/9 * 1 4/5
This article will guide you through the process of multiplying the mixed numbers 1 2/9 and 1 4/5.
Understanding Mixed Numbers
Mixed numbers combine a whole number and a fraction. In this case, we have:
- 1 2/9: Represents one whole and two-ninths.
- 1 4/5: Represents one whole and four-fifths.
Converting to Improper Fractions
To multiply mixed numbers, we first need to convert them into improper fractions:
1. 1 2/9: * Multiply the whole number (1) by the denominator of the fraction (9): 1 * 9 = 9 * Add the numerator of the fraction (2): 9 + 2 = 11 * Keep the same denominator (9): 11/9
2. 1 4/5: * Multiply the whole number (1) by the denominator of the fraction (5): 1 * 5 = 5 * Add the numerator of the fraction (4): 5 + 4 = 9 * Keep the same denominator (5): 9/5
Multiplying Improper Fractions
Now, we can multiply the improper fractions:
- (11/9) * (9/5)
To multiply fractions, we multiply the numerators and the denominators:
- (11 * 9) / (9 * 5)
This simplifies to:
- 99 / 45
Simplifying the Answer
We can simplify this fraction by finding the greatest common factor (GCF) of 99 and 45, which is 9. Dividing both numerator and denominator by 9:
- (99 / 9) / (45 / 9) = 11 / 5
Converting back to Mixed Number
Finally, we can convert the improper fraction 11/5 back to a mixed number:
- 11 / 5 = 2 1/5
Therefore, 1 2/9 * 1 4/5 = 2 1/5