To convert the improper fraction $\frac{7}{3}$ into a mixed number, we need to find out how many whole groups of 3 fit into 7, and what is left over.
Step 1: Divide the numerator by the denominator.
We divide 7 by 3.
* $3 \times 1 = 3$
* $3 \times 2 = 6$
* $3 \times 3 = 9$ (This is too big because 9 is greater than 7)
So, 3 goes into 7
2 times. This gives us our whole number part.
Step 2: Find the remainder.
Since $3 \times 2 = 6$, we subtract 6 from 7 to see what is left.
* $7 - 6 = 1$
The remainder is
1. This becomes the new numerator (the top number) of our fraction. The denominator (the bottom number) stays the same, which is 3.
Step 3: Combine the parts.
* Whole number: 2
* Fraction part: $\frac{1}{3}$
Putting them together, we get $2 \frac{1}{3}$.
Final Answer:
2 \frac{1}{3}
Parent Tip: Review the logic above to help your child master the concept of improper fractions to mixed numbers.
