Dividing fractions can be a bit tricky, but with a few simple steps, you can solve this problem in no time.
To solve 5/2 divided by 1/2, we need to follow the order of operations (PEMDAS):
- Convert the division problem into a multiplication problem by inverting the second fraction (i.e., flipping the numerator and denominator).
So, 5/2 ÷ 1/2 becomes 5/2 × 2/1.
- Multiply the numerators (5 and 2) to get the new numerator.
5 × 2 = 10
- Multiply the denominators (2 and 1) to get the new denominator.
2 × 1 = 2
- Simplify the fraction by dividing both the numerator and denominator by 2.
10 ÷ 2 = 5 2 ÷ 2 = 1
So, the final answer is 5!
Here's a step-by-step solution:
Step 1: Convert the Division Problem into a Multiplication Problem
Step 2: Multiply the Numerators
5 × 2 = 10
Step 3: Multiply the Denominators
2 × 1 = 2
Step 4: Simplify the Fraction
10 ÷ 2 = 5 2 ÷ 2 = 1
Final Answer
The final answer is 5.
Gallery of Fraction Division
What is the rule for dividing fractions?
+To divide fractions, invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
How do I simplify a fraction?
+To simplify a fraction, divide both the numerator and denominator by the greatest common divisor (GCD).
Can I divide fractions with different denominators?
+Yes, you can divide fractions with different denominators. Just invert the second fraction and multiply as usual.