What is 3/5 times 1/3 in fraction form?

What is 3/5 times 1/3 in fraction form?​

The Correct Answer and Explanation is:

To multiply fractions, follow these steps:

Step 1: Multiply the numerators

The numerators of the two fractions are the numbers on the top of the fractions. In this case, the numerators are 3 and 1. So, multiply them together:
[
3 \times 1 = 3
]

Step 2: Multiply the denominators

The denominators are the numbers on the bottom of the fractions. Here, the denominators are 5 and 3. Multiply them together:
[
5 \times 3 = 15
]

Step 3: Form the new fraction

The result of multiplying the numerators is the numerator of the product, and the result of multiplying the denominators is the denominator. So, the product of ( \frac{3}{5} ) and ( \frac{1}{3} ) is:
[
\frac{3}{15}
]

Step 4: Simplify the fraction

Next, simplify the fraction if possible. The fraction ( \frac{3}{15} ) can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 3 and 15 is 3. So, divide both the numerator and the denominator by 3:
[
\frac{3}{15} = \frac{3 \div 3}{15 \div 3} = \frac{1}{5}
]

Final Answer:

The product of ( \frac{3}{5} \times \frac{1}{3} ) is ( \frac{1}{5} ).

Explanation:

Multiplying fractions is a straightforward process where you multiply the numerators together to get the numerator of the product and the denominators together to get the denominator. The key to working with fractions is simplifying the result to its lowest terms, which involves dividing both the numerator and denominator by their greatest common divisor (GCD). In this example, ( \frac{3}{5} \times \frac{1}{3} ) resulted in ( \frac{3}{15} ), which simplifies to ( \frac{1}{5} ).