Math problems can be challenging, but with the right approach, they can be solved with ease. One common math problem that can be tricky is dividing a fraction by another fraction. In this article, we will explore three ways to solve the problem of 3 divided by 4/5.
Understanding the Problem
Before we dive into the solutions, let's first understand the problem. We are given the expression 3 ÷ 4/5, which can be rewritten as 3 divided by 4/5. This expression represents a division operation between a whole number and a fraction.
Method 1: Inverting and Multiplying
One way to solve this problem is to invert the fraction in the divisor and then multiply. This method involves flipping the fraction in the divisor, i.e., changing 4/5 to 5/4, and then multiplying the dividend by the inverted fraction.
Using this method, we can rewrite the expression as:
3 ÷ 4/5 = 3 × 5/4
= 15/4
Method 2: Converting to Equivalent Fractions
Another way to solve this problem is to convert the whole number to an equivalent fraction with the same denominator as the fraction in the divisor. In this case, we can convert the whole number 3 to an equivalent fraction with a denominator of 5.
Using this method, we can rewrite the expression as:
3 ÷ 4/5 = 15/5 ÷ 4/5
= 15/5 × 5/4
= 15/4
Method 3: Using a Calculator or Division Algorithm
A third way to solve this problem is to use a calculator or division algorithm. This method involves dividing the dividend by the numerator of the fraction in the divisor and then multiplying by the reciprocal of the fraction.
Using this method, we can rewrite the expression as:
3 ÷ 4/5 = 3 ÷ 4 × 5
= 0.75 × 5
= 15/4
Conclusion
In this article, we explored three ways to solve the problem of 3 divided by 4/5. We used the methods of inverting and multiplying, converting to equivalent fractions, and using a calculator or division algorithm to arrive at the solution. We hope this article has been informative and helpful in solving this common math problem.
What is the easiest way to solve division problems involving fractions?
+The easiest way to solve division problems involving fractions is to invert the fraction in the divisor and then multiply.
How can I convert a whole number to an equivalent fraction?
+You can convert a whole number to an equivalent fraction by multiplying the whole number by the denominator of the fraction.
What is the difference between a fraction and a decimal?
+A fraction is a number that represents a part of a whole, while a decimal is a number that represents a fraction in a different form.
We hope you have enjoyed reading this article and have found it helpful in solving division problems involving fractions. If you have any questions or need further clarification, please don't hesitate to ask.