Division of Fractions: 6 1/8 ÷ 3/16
In this article, we will learn how to divide mixed numbers, specifically 6 1/8 divided by 3/16.
Understanding the Problem
Before we dive into the solution, let's break down the problem:
- 6 1/8 is a mixed number, which can be written as an improper fraction: (6 × 8 + 1) / 8 = 49 / 8
- 3/16 is a fraction
Step-by-Step Solution
To divide fractions, we need to follow these steps:
Step 1: Convert Mixed Number to Improper Fraction
As mentioned earlier, 6 1/8 can be written as an improper fraction:
49 / 8
Step 2: Flip the Second Fraction (3/16)
To divide fractions, we need to flip the second fraction (3/16) and change the division sign to a multiplication sign:
3 / 16 becomes 16 / 3
Step 3: Multiply the Fractions
Now, we can multiply the two fractions:
(49 / 8) × (16 / 3) = ?
Step 4: Multiply Numerators and Denominators
Multiply the numerators (49 and 16) and multiply the denominators (8 and 3):
(49 × 16) / (8 × 3) = 784 / 24
Step 5: Simplify the Fraction (if possible)
We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 8:
784 ÷ 8 = 98 24 ÷ 8 = 3
So, the simplified fraction is:
98 / 3
The Final Answer
There you have it! 6 1/8 divided by 3/16 is equal to:
98 / 3
or approximately 32.67.
Remember to follow the steps to ensure accurate results when dividing fractions.
