1 1/4 Times 3 In Fraction Form

3 min read Jun 17, 2024
1 1/4 Times 3 In Fraction Form

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:

  1. Multiply the whole number (1) by the denominator of the fraction (4): 1 * 4 = 4
  2. Add the numerator of the fraction (1) to the result: 4 + 1 = 5
  3. Keep the same denominator (4): The improper fraction is 5/4.

Multiplying Fractions

Now we have the problem: (5/4) * 3.

To multiply fractions:

  1. Multiply the numerators: 5 * 3 = 15
  2. Multiply the denominators: 4 * 1 = 4
  3. 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):

  1. 15 divided by 4 is 3 with a remainder of 3.
  2. The quotient (3) becomes the whole number part of the mixed number.
  3. The remainder (3) becomes the numerator of the fractional part.
  4. 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.