Converting Mixed Numbers to Improper Fractions: 1 3/4 x 1 3/4
Introduction
Mixed numbers are a combination of a whole number and a fraction. They can be converted into improper fractions, which are fractions where the numerator is greater than the denominator. In this article, we will explore how to convert the mixed number 1 3/4 into an improper fraction and then multiply it by itself.
Converting 1 3/4 to an Improper Fraction
To convert a mixed number to an improper fraction, we need to multiply the whole number part by the denominator and then add the numerator.
1 3/4 = ?
Let's break it down:
- Whole number part: 1
- Fraction part: 3/4
- Multiply the whole number part by the denominator: 1 × 4 = 4
- Add the numerator: 4 + 3 = 7
- So, the improper fraction is: 7/4
Multiplying 7/4 by 7/4
Now that we have the improper fraction, we can multiply it by itself.
7/4 × 7/4 = ?
To multiply fractions, we multiply the numerators and multiply the denominators.
- Multiply numerators: 7 × 7 = 49
- Multiply denominators: 4 × 4 = 16
- So, the result is: 49/16
Conclusion
In conclusion, we have successfully converted the mixed number 1 3/4 into an improper fraction, which is 7/4. Then, we multiplied it by itself to get the result 49/16. This exercise demonstrates the importance of understanding how to work with mixed numbers and improper fractions in mathematics.
