6 1/4 Divided by 1 1/4
Problem Statement
To divide a mixed number, we need to follow a specific procedure. In this article, we will explore how to divide 6 1/4 by 1 1/4.
Converting Mixed Numbers to Improper Fractions
Before we can divide, we need to convert both mixed numbers to improper fractions.
6 1/4
To convert 6 1/4 to an improper fraction, we multiply the whole number part (6) by the denominator (4) and then add the numerator (1).
6 × 4 = 24 24 + 1 = 25
So, 6 1/4 is equal to 25/4.
1 1/4
To convert 1 1/4 to an improper fraction, we multiply the whole number part (1) by the denominator (4) and then add the numerator (1).
1 × 4 = 4 4 + 1 = 5
So, 1 1/4 is equal to 5/4.
Dividing Improper Fractions
Now that we have converted both mixed numbers to improper fractions, we can divide them.
** Divide 25/4 by 5/4**
To divide fractions, we invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
25/4 ÷ 5/4 = 25/4 × 4/5
Multiply the numerators (25 × 4) and multiply the denominators (4 × 5).
25 × 4 = 100 4 × 5 = 20
So, 25/4 × 4/5 = 100/20.
Simplifying the Result
We can simplify the fraction 100/20 by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 20.
100 ÷ 20 = 5 20 ÷ 20 = 1
So, 100/20 = 5/1, which is equal to 5.
Conclusion
Therefore, 6 1/4 divided by 1 1/4 is equal to 5.
