Whats 3/4 x 1/8 in simplest form
The Correct Answer and Explanation is:
To solve the problem ( \frac{3}{4} \times \frac{1}{8} ) and express it in its simplest form, let’s break it down step by step.
Step 1: Multiply the numerators
When multiplying two fractions, you multiply the numerators (the top numbers) together. In this case, the numerators are 3 and 1. So:
[
3 \times 1 = 3
]
Step 2: Multiply the denominators
Next, you multiply the denominators (the bottom numbers) together. The denominators are 4 and 8. So:
[
4 \times 8 = 32
]
Step 3: Combine the results
Now that we’ve multiplied the numerators and the denominators, we have a new fraction:
[
\frac{3}{32}
]
Step 4: Simplify the fraction (if necessary)
At this point, we need to check if we can simplify the fraction ( \frac{3}{32} ). Simplifying a fraction involves dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 3 and 32 is 1 because 3 is a prime number, and 32 does not have any common factors with 3 other than 1.
Since the GCD is 1, the fraction is already in its simplest form. So, the final answer is:
[
\frac{3}{32}
]
Explanation:
Multiplying fractions is a straightforward process. You multiply the numerators and denominators separately. In this case, multiplying ( \frac{3}{4} ) and ( \frac{1}{8} ) resulted in ( \frac{3}{32} ), which is already in its simplest form because there are no common factors between 3 and 32 (other than 1). Simplifying fractions is an essential skill in arithmetic because it helps express the answer in the most compact form possible, making it easier to understand and work with.