Converting Mixed Numbers to Improper Fractions: 6 1/2 x 9 1/4
In mathematics, mixed numbers are a combination of a whole number and a fraction. When we need to perform arithmetic operations on mixed numbers, it's often easier to convert them to improper fractions first. In this article, we'll explore how to convert and multiply two mixed numbers: 6 1/2 and 9 1/4.
Converting Mixed Numbers to Improper Fractions
6 1/2 as an Improper Fraction
To convert 6 1/2 to an improper fraction, we need to multiply the whole number part (6) by the denominator (2) and then add the numerator (1).
6 × 2 = 12
12 + 1 = 13
So, 6 1/2 as an improper fraction is 13/2.
9 1/4 as an Improper Fraction
Following the same steps, we can convert 9 1/4 to an improper fraction.
9 × 4 = 36
36 + 1 = 37
Therefore, 9 1/4 as an improper fraction is 37/4.
Multiplying the Improper Fractions
Now that we have both mixed numbers converted to improper fractions, we can multiply them.
13/2 × 37/4 = ?
To multiply fractions, we multiply the numerators (13 and 37) and the denominators (2 and 4), and then simplify the resulting fraction.
13 × 37 = 481
2 × 4 = 8
So, the result of the multiplication is 481/8.
Simplifying the Result
In some cases, the resulting fraction can be simplified further. However, in this case, 481/8 is already in its simplest form.
In conclusion, we have successfully converted the mixed numbers 6 1/2 and 9 1/4 to improper fractions and multiplied them to get the result 481/8. This demonstrates the importance of converting mixed numbers to improper fractions when performing arithmetic operations.
