To divide fractions, you need to follow these steps:
Step 1: Flip the second fraction (the divisor) upside down. This step is also known as finding the reciprocal.
In this case, the fraction is 3/8. When we flip it, we get 8/3.
Step 2: Change the division operation to multiplication.
Instead of dividing by 3/8, we'll multiply by its reciprocal, 8/3.
So, the expression 1/8 ÷ 3/8 becomes 1/8 x 8/3.
Step 3: Simplify the fraction by multiplying the numerators and the denominators.
The numerator is 1 x 8, which equals 8.
The denominator is 8 x 3, which equals 24.
So, 1/8 ÷ 3/8 simplifies to 8/24.
Step 4: Reduce the fraction, if necessary.
In this case, we can simplify further by dividing both the numerator and denominator by their greatest common divisor, which is 8.
When we divide both 8 and 24 by 8, we get 1 and 3, respectively.
So, 1/8 ÷ 3/8 reduces to 1/3.
Therefore, the simplified form of 1/8 ÷ 3/8 is 1/3.