To convert the improper fraction 10 3 into a mixed number, first, we need to understand the terms involved. A mixed number consists of a whole number and a proper fraction.
Step 1: Break down the improper fraction. The number 10 3 means we have 10 whole parts and 3 additional parts that we need to consider as a fraction.
Step 2: Convert the additional parts (3) into a fraction of the same denominator. Since we typically interpret a mixed number as having a denominator of the whole number part (in this case, 10), we combine the two.
To express 10 3 as a mixed number:
1. Take the whole part: 10
2. For the fractional part, note that 3 can be wherever we want it in relation to a complete set of ten. Here’s how to represent it:
10 + 3/10 = 10 3/10
So, 10 3 can be expressed as the mixed number 10 3/10.
In conclusion, the mixed number representation of 10 3 is 10 3/10.