**Converting Mixed Numbers to Improper Fractions: 1 5/8 as a Fraction**

In mathematics, fractions are used to represent parts of a whole. Mixed numbers, on the other hand, are a combination of a whole number and a fraction. In this article, we will learn how to convert a mixed number, 1 5/8, to an improper fraction.

**What is a Mixed Number?**

A mixed number is a combination of a whole number and a proper fraction. It is written in the form:

a b/c

where a is the whole number, b is the numerator, and c is the denominator.

**What is an Improper Fraction?**

An improper fraction is a fraction where the numerator is greater than the denominator. It is written in the form:

b/c

where b is the numerator and c is the denominator.

**Converting 1 5/8 to an Improper Fraction**

To convert a mixed number to an improper fraction, we need to follow these steps:

**Multiply the whole number part by the denominator**: In this case, the whole number part is 1, and the denominator is 8. Multiply 1 by 8 to get 8.**Add the numerator to the product**: Add 5 (the numerator) to 8 to get 13.**Write the result as an improper fraction**: Write the result as an improper fraction by keeping the numerator (13) and the denominator (8) the same.

So, 1 5/8 as an improper fraction is:

**13/8**

**Comparing with 3/4**

Now, let's compare the improper fraction 13/8 with 3/4.

To compare these two fractions, we need to find the least common multiple (LCM) of 8 and 4, which is 8. Then, we can convert 3/4 to an equivalent fraction with a denominator of 8:

3/4 = 6/8

Now, we can compare the two fractions:

13/8 vs 6/8

As we can see, 13/8 is greater than 6/8.

**Conclusion**

In this article, we learned how to convert a mixed number, 1 5/8, to an improper fraction, which is 13/8. We also compared it with 3/4 and found that 13/8 is greater than 6/8.