To divide fractions, we can use the following steps:
Step 1: Flip the second fraction (the divisor) upside down, changing the division operation to multiplication. For example, if we have 1/4 divided by 2/3, we flip 2/3 to become 3/2.
Step 2: Multiply the first fraction (the dividend) by the flipped second fraction (the reciprocal). So, 1/4 multiplied by 3/2 is (1/4) * (3/2).
Step 3: Multiply the numerators (the top numbers) together to get the new numerator. In this case, 1 * 3 = 3.
Step 4: Multiply the denominators (the bottom numbers) together to get the new denominator. In this case, 4 * 2 = 8.
Step 5: Simplify the fraction by reducing it to its simplest form. In this case, 3/8 is already in its simplest form, so it cannot be simplified further.
Therefore, the answer to 1/4 divided by 2/3, expressed in the simplest form, is 3/8.
Example:
Let's say we have 1/4 divided by 2/3. We can follow the steps mentioned above:
Step 1: Flip the second fraction: 2/3 becomes 3/2.
Step 2: Multiply the fractions: (1/4) * (3/2).
Step 3: Multiply the numerators: 1 * 3 = 3.
Step 4: Multiply the denominators: 4 * 2 = 8.
Step 5: Simplify the fraction: 3/8.
So, 1/4 divided by 2/3 equals 3/8.