7 1/2 Divided by 3 1/8 in Fraction Form
To divide mixed numbers, we need to follow a specific set of steps. In this case, we want to find the result of dividing 7 1/2 by 3 1/8 in fraction form.
Step 1: Convert Mixed Numbers to Improper Fractions
First, let's convert both mixed numbers to improper fractions.
7 1/2
To convert 7 1/2 to an improper fraction, we multiply the whole number part (7) by the denominator (2) and then add the numerator (1).
7 × 2 = 14 14 + 1 = 15
So, 7 1/2 is equal to 15/2.
3 1/8
To convert 3 1/8 to an improper fraction, we multiply the whole number part (3) by the denominator (8) and then add the numerator (1).
3 × 8 = 24 24 + 1 = 25
So, 3 1/8 is equal to 25/8.
Step 2: Divide the Improper Fractions
Now, we can divide the two improper fractions.
15/2 ÷ 25/8
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
15/2 × 8/25
Step 3: Simplify the Result
Now, we can simplify the result.
120/50
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
GCD of 120 and 50 is 10
120 ÷ 10 = 12 50 ÷ 10 = 5
So, the result of dividing 7 1/2 by 3 1/8 in fraction form is 12/5.
Final Answer
Therefore, 7 1/2 divided by 3 1/8 is equal to 12/5 in fraction form.
