Fraction Operations: Understanding 1 1/2 - 3/8
Fractions can be a bit tricky to work with, especially when it comes to performing operations like subtraction. In this article, we'll explore how to subtract 3/8 from 1 1/2, and break down the steps to get the correct answer.
Converting Mixed Numbers to Improper Fractions
Before we can subtract 3/8 from 1 1/2, we need to convert the mixed number 1 1/2 to an improper fraction. To do this, we'll multiply the whole number part (1) by the denominator (2), and then add the numerator (1).
1 1/2 = (2 x 1) + 1 / 2 = 3/2
Now that we have an improper fraction, we can proceed with the subtraction.
Subtracting 3/8 from 3/2
To subtract 3/8 from 3/2, we need to find a common denominator. The least common multiple (LCM) of 2 and 8 is 8. So, we'll convert 3/2 to have a denominator of 8.
3/2 = (3 x 4) / (2 x 4) = 12/8
Now we can subtract 3/8 from 12/8.
12/8 - 3/8 = 9/8
So, 1 1/2 - 3/8 = 9/8.
Conclusion
In conclusion, subtracting 3/8 from 1 1/2 requires converting the mixed number to an improper fraction, finding a common denominator, and then performing the subtraction. By following these steps, we get the correct answer: 9/8.
