Converting Mixed Numbers to Improper Fractions: 1 1/4 x 3/4
When working with mixed numbers, it's often necessary to convert them to improper fractions to perform arithmetic operations. In this article, we'll explore how to convert the mixed number 1 1/4 to an improper fraction and then multiply it by 3/4.
Converting 1 1/4 to an Improper Fraction
To convert the mixed number 1 1/4 to an improper fraction, we need to multiply the whole number part (1) by the denominator (4) and then add the numerator (1). This gives us:
5/4
So, the mixed number 1 1/4 is equal to the improper fraction 5/4.
Multiplying 5/4 by 3/4
Now that we have the improper fraction, we can multiply it by 3/4:
(5/4) × (3/4) = 15/16
Therefore, the result of multiplying 1 1/4 by 3/4 is equal to 15/16.
Conclusion
In this article, we converted the mixed number 1 1/4 to an improper fraction (5/4) and then multiplied it by 3/4 to get a result of 15/16. Understanding how to work with mixed numbers and improper fractions is essential in mathematics, and we hope this example has been helpful in illustrating the process.
