Adding Fractions: 1 1/2 + 1/4
When working with fractions, it's essential to understand how to add them correctly. In this article, we'll explore how to add 1 1/2 and 1/4 as fractions.
Step 1: Convert the Mixed Number
The first step is to convert the mixed number 1 1/2 into an improper fraction. To do this, we multiply the whole number part (1) by the denominator (2) and then add the numerator (1). This gives us:
1 × 2 + 1 = 3
So, 1 1/2 is equal to the improper fraction:
3/2
Step 2: Add the Fractions
Now that we have an improper fraction, we can add it to 1/4. To add fractions, we need to have the same denominator. The least common multiple (LCM) of 2 and 4 is 4. So, we can rewrite 3/2 as:
6/4
Now, we can add the fractions:
6/4 + 1/4 = 7/4
Step 3: Simplify the Fraction (Optional)
If possible, we can simplify the fraction 7/4. However, in this case, the fraction is already in its simplest form.
The Final Answer
Therefore, 1 1/2 + 1/4 as a fraction is equal to 7/4.
