2 1/2 Divided by 1 3/4 in Fraction Form
Introduction
In this article, we will discuss how to divide mixed numbers in fraction form. Specifically, we will explore the division of 2 1/2 by 1 3/4. We will walk through the step-by-step process to find the result of this division problem.
Converting Mixed Numbers to Improper Fractions
Before we can divide these mixed numbers, we need to convert them to improper fractions. An improper fraction is a fraction where the numerator is greater than the denominator.
2 1/2 in Improper Fraction Form
To convert 2 1/2 to an improper fraction, we can multiply the whole number part (2) by the denominator (2), then add the numerator (1).
2 × 2 = 4 4 + 1 = 5
So, 2 1/2 in improper fraction form is 5/2.
1 3/4 in Improper Fraction Form
Similarly, to convert 1 3/4 to an improper fraction, we can multiply the whole number part (1) by the denominator (4), then add the numerator (3).
1 × 4 = 4 4 + 3 = 7
So, 1 3/4 in improper fraction form is 7/4.
Dividing Improper Fractions
Now that we have both mixed numbers in improper fraction form, we can divide them.
5/2 ÷ 7/4
To divide fractions, we invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
5/2 × 4/7
Now, we can multiply the numerators and denominators separately.
(5 × 4) / (2 × 7)
25 / 14
Simplifying the Result
The result of the division is 25/14. This is an improper fraction. We can simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 1.
So, the final result is 25/14.
Conclusion
In this article, we have demonstrated how to divide 2 1/2 by 1 3/4 in fraction form. By converting both mixed numbers to improper fractions and then dividing, we found the result to be 25/14.
