7 1/4 x 1/4: A Simple Fraction Multiplication
In this article, we will discuss the multiplication of two fractions, 7 1/4 and 1/4. We will break down the steps to multiply these fractions and provide the solution.
What is 7 1/4?
Before we dive into the multiplication, let's first understand what 7 1/4 represents. 7 1/4 is a mixed number, which is a combination of a whole number and a fraction. In this case, the whole number is 7 and the fraction is 1/4.
Converting 7 1/4 to an Improper Fraction
To multiply fractions, it's often easier to convert the mixed number to an improper fraction. An improper fraction is a fraction where the numerator is greater than the denominator. To convert 7 1/4 to an improper fraction, we can multiply the whole number by the denominator and then add the numerator:
7 × 4 = 28 + 1 = 29
So, 7 1/4 is equal to the improper fraction 29/4.
Multiplying 29/4 and 1/4
Now that we have converted 7 1/4 to an improper fraction, we can multiply it by 1/4:
29/4 × 1/4 = ?
To multiply fractions, we multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom):
29 × 1 = 29 4 × 4 = 16
So, the result of multiplying 29/4 and 1/4 is 29/16.
Simplifying the Result
The result of the multiplication is 29/16. This is an improper fraction, and we can simplify it by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 29 and 16 is 1, so the simplified result is still 29/16.
Conclusion
In conclusion, the result of multiplying 7 1/4 and 1/4 is 29/16. We converted the mixed number to an improper fraction, multiplied the fractions, and simplified the result.
