6 3/4 Divided by 1 1/8
In this article, we will explore the solution to the problem of dividing 6 3/4 by 1 1/8.
Step 1: Convert Mixed Numbers to Improper Fractions
To divide mixed numbers, we need to convert them to improper fractions first.
6 3/4
To convert 6 3/4 to an improper fraction, we multiply the whole number part (6) by the denominator (4) and then add the numerator (3).
6 × 4 = 24 24 + 3 = 27
So, 6 3/4 is equal to 27/4.
1 1/8
To convert 1 1/8 to an improper fraction, we multiply the whole number part (1) by the denominator (8) and then add the numerator (1).
1 × 8 = 8 8 + 1 = 9
So, 1 1/8 is equal to 9/8.
Step 2: Divide the Improper Fractions
Now that we have converted both mixed numbers to improper fractions, we can divide them.
27/4 ÷ 9/8
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
27/4 × 8/9
Now, we can multiply the numerators and denominators separately.
Numerator: 27 × 8 = 216 Denominator: 4 × 9 = 36
So, the result of the division is 216/36.
Step 3: Simplify the Result
We can simplify the fraction 216/36 by dividing both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 216 and 36 is 36.
216 ÷ 36 = 6 36 ÷ 36 = 1
So, the simplified result is 6.
Conclusion
Therefore, 6 3/4 divided by 1 1/8 is equal to 6.
