2 1/4 Plus 1 1/2 as a Fraction
What is the Result of 2 1/4 Plus 1 1/2?
To find the result of 2 1/4 plus 1 1/2, we need to convert both mixed numbers to improper fractions and then add them together.
Converting Mixed Numbers to Improper Fractions
2 1/4
To convert 2 1/4 to an improper fraction, we multiply the whole number part (2) by the denominator (4) and then add the numerator (1).
2 × 4 = 8 8 + 1 = 9
So, 2 1/4 is equal to 9/4.
1 1/2
To convert 1 1/2 to an improper fraction, we multiply the whole number part (1) by the denominator (2) and then add the numerator (1).
1 × 2 = 2 2 + 1 = 3
So, 1 1/2 is equal to 3/2.
Adding the Fractions
Now that we have converted both mixed numbers to improper fractions, we can add them together.
9/4 + 3/2
To add these fractions, we need to find the least common multiple (LCM) of the denominators, which is 4. We can then convert both fractions to have a denominator of 4.
9/4 = 18/8 3/2 = 12/8
Now, we can add the fractions:
18/8 + 12/8 = 30/8
Simplifying the Result
We can simplify the resulting fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2.
30 ÷ 2 = 15 8 ÷ 2 = 4
So, the result of 2 1/4 plus 1 1/2 as a fraction is 15/4.
Therefore, the final answer is 3 3/4.
