Multiplying Mixed Numbers: 1 3/4 x 1 3/4
This article will guide you through the steps of multiplying the mixed number 1 3/4 by itself.
Converting Mixed Numbers to Improper Fractions
Before multiplying mixed numbers, we need to convert them into improper fractions. To do this, follow these steps:
- Multiply the whole number by the denominator of the fraction: 1 x 4 = 4
- Add the numerator: 4 + 3 = 7
- Keep the same denominator: 7/4
Therefore, 1 3/4 is equivalent to 7/4.
Multiplying the Improper Fractions
Now that we have both mixed numbers as improper fractions, we can multiply them:
(7/4) x (7/4) = (7 x 7) / (4 x 4) = 49/16
Converting Back to a Mixed Number
The result is an improper fraction. Let's convert it back into a mixed number:
- Divide the numerator by the denominator: 49 ÷ 16 = 3 with a remainder of 1
- The quotient becomes the whole number: 3
- The remainder becomes the numerator: 1
- The denominator stays the same: 16
Therefore, 49/16 is equivalent to 3 1/16.
Conclusion
Therefore, 1 3/4 times 1 3/4 is equal to 3 1/16.