3) 11/7 can be expressed in the form of mixed fraction
The Correct Answer and Explanation is:
To express the improper fraction 11/7 as a mixed fraction, we need to divide 11 by 7. Here’s how you can do it:
Step 1: Divide 11 by 7
When you divide 11 by 7, you get: 11÷7=1 remainder 411 ÷ 7 = 1 \, \text{remainder} \, 411÷7=1remainder4
So, the quotient is 1, and the remainder is 4.
Step 2: Express the result as a mixed fraction
The mixed fraction is formed by combining the quotient (1) with the remainder (4) over the original denominator (7). This gives us: 11/7=1 and 4711/7 = 1 \, \text{and} \, \frac{4}{7}11/7=1and74
Therefore, the mixed fraction form of 11/7 is 1 4/7.
Step 3: Verifying the result
To check that the mixed fraction is correct, we convert 1 4/7 back into an improper fraction: 1 and 47=77+47=1171 \, \text{and} \, \frac{4}{7} = \frac{7}{7} + \frac{4}{7} = \frac{11}{7}1and74=77+74=711
So, we see that 1 4/7 is equivalent to 11/7.
Explanation of Mixed Fractions
A mixed fraction is a way of representing an improper fraction, which is a fraction where the numerator is greater than or equal to the denominator. By breaking it down into a whole number and a proper fraction, we make it easier to understand and use in real-world contexts.
For instance, in 1 4/7, the whole number 1 represents one whole, and the fraction 4/7 represents a part of another whole. This method helps to visualize quantities in a more intuitive way, especially when dealing with measurements or dividing items.
In conclusion, 11/7 as a mixed fraction is 1 4/7, which can also be converted back to the improper fraction 11/7 for consistency in calculations.
