Sure, let's convert the improper fraction [tex]\( \frac{22}{7} \)[/tex] into a mixed number step by step.
1. Divide the numerator by the denominator:
- We need to find out how many times 7 fits into 22.
- 7 fits into 22 a total of 3 times. So, the whole number part of our mixed number is 3.
2. Find the remainder:
- After dividing, we need to determine the remainder.
- [tex]\( 22 - (7 \times 3) = 22 - 21 = 1 \)[/tex]. So, the remainder is 1.
3. Write the fraction part:
- The remainder from the division is written as the numerator of the fractional part, while the original denominator remains the same.
- This gives us the fractional part [tex]\( \frac{1}{7} \)[/tex].
4. Combine the whole number and the fraction:
- Put together the whole number and the fraction to form the mixed number.
- Therefore, [tex]\( \frac{22}{7} \)[/tex] as a mixed number is [tex]\( 3 \frac{1}{7} \)[/tex].
So, [tex]\( \frac{22}{7} \)[/tex] converted to a mixed number is [tex]\( 3 \frac{1}{7} \)[/tex].
