**Converting 7 1 2 1 7 8 to a Fraction**

Have you ever wondered how to convert a mixed number like 7 1 2 1 7 8 to a fraction? In this article, we'll explore the steps to do just that.

**What is a Mixed Number?**

A mixed number is a combination of a whole number and a fraction. In this case, 7 1 2 1 7 8 can be broken down into a whole number part (7) and a fractional part (1 2/1 7 8).

**Converting the Fractional Part**

To convert the fractional part to a proper fraction, we need to divide the numerator (2) by the denominator (1 7 8). However, we need to convert the denominator to a whole number first.

**Converting the Denominator**

To convert the denominator, we can rewrite 1 7 8 as a mixed number: 1 7/8. Now, we can convert the fraction to an improper fraction by multiplying the whole number part (1) by the denominator (8) and then adding the numerator (7):

1 × 8 + 7 = 15

So, the denominator becomes 15.

**Converting the Fraction**

Now, we can convert the fractional part to a proper fraction:

2 ÷ 15 = 2/15

**Assembling the Fraction**

Finally, we can assemble the whole number part and the fractional part to get the final fraction:

7 2/15

**Conclusion**

In conclusion, we have successfully converted the mixed number 7 1 2 1 7 8 to a fraction: 7 2/15. This process involves breaking down the mixed number into its whole number and fractional parts, converting the denominator to a whole number, and assembling the final fraction.