5 1/4 x 3/4 as a Fraction
When dealing with mixed numbers and fractions, it's essential to understand how to multiply them correctly. In this article, we'll explore how to multiply 5 1/4 by 3/4 as a fraction.
Step 1: Convert the Mixed Number to a Fraction
First, let's convert the mixed number 5 1/4 to a fraction. To do this, we'll multiply the whole number part (5) by the denominator (4) and then add the numerator (1).
5 × 4 = 20 20 + 1 = 21
So, the mixed number 5 1/4 is equal to the fraction 21/4.
Step 2: Multiply the Fractions
Now that we have converted the mixed number to a fraction, we can multiply it by 3/4.
21/4 × 3/4
To multiply fractions, we'll multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom), then simplify the result.
21 × 3 = 63 4 × 4 = 16
So, the result of the multiplication is 63/16.
Step 3: Simplify the Result
Finally, we can simplify the result by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 63 and 16 is 1, so the result cannot be simplified further.
Conclusion
The result of multiplying 5 1/4 by 3/4 as a fraction is 63/16.
