1 3/4 Times 2 In Fraction Form

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

Multiplying Fractions: 1 3/4 x 2

This article will guide you through the steps of multiplying a mixed number by a whole number, specifically 1 3/4 x 2.

Understanding Mixed Numbers

First, let's understand what a mixed number is. A mixed number consists of a whole number and a fraction. In this case, 1 3/4 represents one whole unit plus three-quarters of another unit.

Converting Mixed Numbers to Fractions

To make multiplication easier, we need to convert the mixed number into an improper fraction. Here's how:

  1. Multiply the whole number by the denominator: 1 x 4 = 4
  2. Add the numerator: 4 + 3 = 7
  3. Keep the original denominator: 7/4

Therefore, 1 3/4 is equivalent to 7/4.

Multiplying Fractions

Now we can multiply the fractions:

(7/4) x (2/1)

To multiply fractions, we multiply the numerators and the denominators.

(7 x 2) / (4 x 1)

= 14/4

Simplifying the Answer

The fraction 14/4 can be simplified. Both the numerator and denominator are divisible by 2:

(14/2) / (4/2)

= 7/2

Converting Back to a Mixed Number

Finally, we can convert the improper fraction 7/2 back to a mixed number:

  1. Divide the numerator by the denominator: 7 ÷ 2 = 3 with a remainder of 1
  2. The quotient becomes the whole number: 3
  3. The remainder becomes the numerator: 1
  4. Keep the original denominator: 2

Therefore, 7/2 is equivalent to 3 1/2.

Conclusion

In conclusion, 1 3/4 x 2 = 3 1/2. By following these steps, you can confidently multiply mixed numbers and fractions.