1 1/2 X 3/4 In Fraction Form

3 min read Jun 17, 2024
1 1/2 X 3/4 In Fraction Form

Multiplying Fractions: 1 1/2 x 3/4

This article will guide you through the process of multiplying the mixed number 1 1/2 by the fraction 3/4.

Understanding Mixed Numbers

A mixed number combines a whole number and a fraction. To multiply a mixed number by a fraction, we first need to convert it into an improper fraction.

Converting 1 1/2 to an Improper Fraction:

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

Multiplying Fractions

Now, we have the following multiplication problem: 3/2 x 3/4

To multiply fractions, we simply multiply the numerators and the denominators:

  • Numerator: 3 x 3 = 9
  • Denominator: 2 x 4 = 8

Therefore, 3/2 x 3/4 = 9/8

Simplifying the Result

The fraction 9/8 is an improper fraction (the numerator is larger than the denominator). We can simplify it into a mixed number:

  • Divide the numerator (9) by the denominator (8): 9 ÷ 8 = 1 with a remainder of 1.
  • The quotient (1) becomes the whole number part of the mixed number.
  • The remainder (1) becomes the numerator of the fraction part.
  • The denominator remains the same (8).

Therefore, the simplified form of 9/8 is 1 1/8.

Conclusion

The product of 1 1/2 and 3/4, when expressed in fraction form, is 1 1/8.

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