Convert the given fraction 22/7 into a mixed fraction. What will be the answer
The Correct Answer and Explanation is:
Mixed Fraction of 22/7:
To convert the improper fraction 22/7 into a mixed fraction:
- Divide 22 by 7:
- 7 goes into 22 3 times (because 7 × 3 = 21).
- The remainder is 1 (because 22 – 21 = 1).
- Write the mixed fraction:
- The quotient becomes the whole number part.
- The remainder becomes the numerator of the fractional part, and the denominator stays the same.
✅ Answer:
22/7 = 3 1/7 (Three and one-seventh)
Explanation
A mixed fraction (or mixed number) is a combination of a whole number and a proper fraction. It’s used to express improper fractions in a more readable form. An improper fraction has a numerator larger than its denominator, as is the case with 22/7.
To convert an improper fraction like 22/7 into a mixed fraction, you perform division. The numerator (22) is divided by the denominator (7). Here, 7 goes into 22 three full times, since 7 × 3 = 21. That accounts for 21 out of the 22 units. But since 22 is 1 more than 21, you’re left with a remainder of 1.
This leftover part becomes the fractional component of the mixed number. The remainder (1) is written as the numerator over the original denominator (7), forming the fraction 1/7. Together with the whole number 3, this gives you the mixed fraction 3 1/7.
This conversion is not only useful in math problems but also in daily life. For example, recipes or measurements often use mixed numbers because they’re easier to understand and apply than improper fractions.
Also, it’s important to note that 22/7 is a commonly used approximation of π (pi) in mathematics. So, 3 1/7 is also a way of expressing an estimate of π, which is slightly greater than the actual value (~3.14159). This makes the mixed fraction 3 1/7 not just mathematically correct but historically significant in geometry and science as well.
Thus, 22/7 as a mixed fraction is 3 1/7, and understanding how to convert it helps build foundational math skills.
