Math Made Easy: Finding Half of 3 and 3/4
When working with fractions and mixed numbers, calculating halves can be a bit tricky. But don’t worry, we’re here to help! In this article, we’ll break down the steps to find half of 3 and 3/4.
Converting Mixed Numbers to Improper Fractions
To make calculations easier, let’s convert the mixed number 3 and 3/4 to an improper fraction. To do this, we multiply the whole number (3) by the denominator (4) and add the numerator (3):
3 × 4 = 12
12 + 3 = 15
So, 3 and 3/4 is equal to the improper fraction 15/4.
Finding Half of 15/4
Now that we have our improper fraction, finding half is a breeze! To find half of a fraction, we simply divide the numerator by 2:
15 ÷ 2 = 7.5
So, half of 15/4 is equal to 7.5/4.
Converting 7.5/4 to a Mixed Number
To make the answer more readable, let’s convert the improper fraction 7.5/4 back to a mixed number. To do this, we divide the numerator (7.5) by the denominator (4):
7.5 ÷ 4 = 1.875
Since 0.875 is equal to 7/8, we can write the mixed number as:
1 7/8
Summary
In summary, half of 3 and 3/4 is equal to 1 7/8. By converting the mixed number to an improper fraction, finding half, and converting back to a mixed number, we arrived at the final answer.
Calculating halves of fractions and mixed numbers can seem daunting, but by breaking down the steps, it becomes manageable. Remember to convert mixed numbers to improper fractions, find half by dividing the numerator by 2, and convert back to a mixed number for a more readable answer.