1 1/4 Times 3 in Fraction Form
This article will guide you through multiplying the mixed number 1 1/4 by 3 and expressing the answer in fraction form.
Converting Mixed Numbers to Fractions
First, we need to convert the mixed number 1 1/4 into an improper fraction. To do this:
- Multiply the whole number (1) by the denominator of the fraction (4): 1 * 4 = 4
- Add the numerator of the fraction (1) to the result: 4 + 1 = 5
- Keep the same denominator (4): The improper fraction is 5/4.
Multiplying Fractions
Now we have the problem: (5/4) * 3.
To multiply fractions:
- Multiply the numerators: 5 * 3 = 15
- Multiply the denominators: 4 * 1 = 4
- Simplify the resulting fraction: The product is 15/4.
Converting to Mixed Number (Optional)
The answer 15/4 is an improper fraction. If you prefer to express the answer as a mixed number, you can do so by dividing the numerator (15) by the denominator (4):
- 15 divided by 4 is 3 with a remainder of 3.
- The quotient (3) becomes the whole number part of the mixed number.
- The remainder (3) becomes the numerator of the fractional part.
- The denominator (4) remains the same.
Therefore, the mixed number form of 15/4 is 3 3/4.
Conclusion
In conclusion, 1 1/4 times 3 is equal to 15/4 or 3 3/4 when expressed as a fraction and mixed number, respectively.