**Fraction Calculation: 7 1/2 - 1/8**

In this article, we will discuss how to subtract a fraction from a mixed number. Specifically, we will calculate 7 1/2 - 1/8.

**Understanding the Fractions**

Before we dive into the calculation, let's understand the fractions involved.

**7 1/2**: This is a mixed number, which is a combination of a whole number and a fraction. The whole number part is 7, and the fraction part is 1/2.**1/8**: This is a fraction, where the numerator is 1 and the denominator is 8.

**Converting to Improper Fractions**

To subtract a fraction from a mixed number, we need to convert the mixed number to an improper fraction. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

**7 1/2**: To convert this to an improper fraction, we multiply the whole number part (7) by the denominator (2) and then add the numerator (1). This gives us:

7 × 2 + 1 = 15

So, the improper fraction equivalent to 7 1/2 is **15/2**.

**Subtracting the Fractions**

Now that we have converted the mixed number to an improper fraction, we can subtract the fractions.

**15/2 - 1/8**

To subtract these fractions, we need to find a common denominator, which is the least common multiple (LCM) of 2 and 8. The LCM of 2 and 8 is 8.

**15/2**: We can convert this to have a denominator of 8 by multiplying both the numerator and denominator by 4.

15 × 4 = 60 2 × 4 = 8

So, the equivalent fraction is **60/8**.

Now we can subtract the fractions:

**60/8 - 1/8**

Subtracting the numerators and keeping the denominator the same, we get:

60 - 1 = 59

**59/8**

This is the result of subtracting 1/8 from 7 1/2.

**Conclusion**

In conclusion, 7 1/2 - 1/8 = **59/8**. We converted the mixed number to an improper fraction, found a common denominator, and then subtracted the fractions to get the result.