Explain in details the correct solution:
What is 2/3 • 1/2 ? Remember to simplify to lowest terms.
My answer is 1/3. How can I explain how I got the correct solution?
Its hard for me to explain these things in word problems.
when multiplying fractions,
multiply the numerators
multiply the denominators
To find the solution for the expression 2/3 • 1/2 and simplify it to the lowest terms, we follow a few steps:
Step 1: Multiply the numerators (top numbers) together. In this case, 2 x 1 = 2.
Step 2: Multiply the denominators (bottom numbers) together. Here, 3 x 2 = 6.
Step 3: Put the product of the numerators over the product of the denominators. Therefore, we have 2/6.
Step 4: Simplify the fraction to its lowest terms. We can do this by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 2 and 6 is 2.
Step 5: Divide the numerator (2) and the denominator (6) by the GCD (2). So, 2 divided by 2 is 1, and 6 divided by 2 is 3.
Therefore, the answer to 2/3 • 1/2 simplified to the lowest terms is 1/3.