4 Ways To Simplify 4 Divided By 4/7

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Understanding the Complexity of Division

Division is a fundamental mathematical operation that can sometimes be tricky to understand. In this article, we'll explore a specific example of a division problem and provide four different methods to simplify it. The problem we'll be looking at is 4 divided by 4/7.

Method 1: Inverting and Multiplying

One way to simplify this problem is to invert the second fraction (i.e., flip the numerator and denominator) and then multiply. So, we would rewrite the problem as 4 × 7/4. This can be simplified by canceling out the 4s, leaving us with 7.

Method 2: Using the Division Algorithm

Another approach is to use the division algorithm, which states that for any two non-negative integers a and b (with b ≠ 0), there exist unique integers q and r such that a = bq + r and 0 ≤ r < b. In our case, we can divide 4 by 4/7, which is equivalent to finding the quotient and remainder when 4 is divided by 4/7.

Method 3: Simplifying the Fraction

We can also simplify the fraction 4/7 by dividing both the numerator and denominator by their greatest common divisor, which is 1. This leaves us with the simplified fraction 4/7.

Method 4: Using a Calculator or Online Tool

Finally, we can use a calculator or online tool to simplify the expression. By entering the values into a calculator, we get the result 7.

Conclusion: Simplifying 4 Divided by 4/7

In conclusion, there are multiple ways to simplify the expression 4 divided by 4/7. By using the methods outlined above, we can simplify the expression to get the result 7.