Converting Mixed Numbers to Fractions: 5 1/2 x 3/4 as a Fraction
When dealing with mixed numbers, it's essential to understand how to convert them into fractions. In this article, we'll explore how to convert the mixed number 5 1/2 x 3/4 into a fraction.
What is a Mixed Number?
A mixed number is a combination of a whole number and a fraction. For example, 5 1/2 is a mixed number, where 5 is the whole number and 1/2 is the fraction part.
Converting 5 1/2 to a Fraction
To convert 5 1/2 to a fraction, we need to follow these steps:
- Multiply the whole number part (5) by the denominator of the fraction part (2): 5 × 2 = 10
- Add the numerator of the fraction part (1) to the product: 10 + 1 = 11
- Write the result as a fraction: 11/2
So, 5 1/2 is equal to 11/2.
Converting 3/4 to a Fraction
Since 3/4 is already a fraction, we don't need to do anything with it.
Multiplying the Fractions
Now that we have converted 5 1/2 to a fraction, we can multiply it with 3/4:
(11/2) × (3/4) = ?
To multiply fractions, we multiply the numerators (11 and 3) and multiply the denominators (2 and 4):
(11 × 3) / (2 × 4) = 33/8
So, 5 1/2 x 3/4 is equal to 33/8.
Conclusion
In conclusion, we have successfully converted the mixed number 5 1/2 x 3/4 into a fraction, which is 33/8. By following these steps, you can convert any mixed number into a fraction and perform arithmetic operations with ease.
