1 3/4 Times 1 3/4 In Fraction Form

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

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:

  1. Multiply the whole number by the denominator of the fraction: 1 x 4 = 4
  2. Add the numerator: 4 + 3 = 7
  3. 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:

  1. Divide the numerator by the denominator: 49 ÷ 16 = 3 with a remainder of 1
  2. The quotient becomes the whole number: 3
  3. The remainder becomes the numerator: 1
  4. 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.

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