7 1/2 Divided by 1 9/10 as a Fraction
Dividing mixed numbers can be a bit tricky, but with the right steps, you can easily solve the problem. In this article, we will explore how to divide 7 1/2 by 1 9/10 as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To divide mixed numbers, we need to convert them into improper fractions. An improper fraction is a fraction where the numerator is greater than the denominator.
7 1/2 = ?
7 1/2 = 15/2
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). This gives us 15/2.
1 9/10 = ?
1 9/10 = 19/10
Similarly, to convert 1 9/10 to an improper fraction, we multiply the whole number part (1) by the denominator (10) and then add the numerator (9). This gives us 19/10.
Step 2: Divide the Fractions
Now that we have converted both mixed numbers to improper fractions, we can divide them.
15/2 ÷ 19/10 = ?
15/2 ÷ 19/10 = (15/2) × (10/19)
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
Step 3: Multiply the Fractions
Now, let's multiply the fractions.
(15/2) × (10/19) = 150/38
Step 4: Simplify the Fraction
The resulting fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD).
150 ÷ 38 = 3
38 ÷ 38 = 1
The GCD of 150 and 38 is 2. So, we can simplify the fraction as follows:
150/38 = 75/19
The Final Answer
Therefore, 7 1/2 divided by 1 9/10 as a fraction is:
75/19
I hope this article has helped you understand how to divide mixed numbers as fractions. Remember to follow the steps outlined above to solve similar problems.
