Welcome! Today we'll learn how to divide fractions. The key rule is "Keep, Change, Flip" - we keep the first fraction, change division to multiplication, and flip the second fraction. Let's see how this works with an example: one-half divided by three-fourths.
Let's start with step one: Keep the first fraction. In our example of one-half divided by three-fourths, we simply keep the first fraction, one-half, exactly as it is. This fraction remains unchanged throughout the entire process.
Now for step two: Change the division sign to multiplication. We replace the division symbol with a multiplication symbol. This transforms our problem from one-half divided by three-fourths into one-half times three-fourths. This change is essential for the fraction division process.
Step three: Flip the second fraction. We turn three-fourths upside down to get four-thirds. This is called finding the reciprocal. The numerator becomes the denominator, and the denominator becomes the numerator. So three-fourths becomes four-thirds.
Finally, we multiply and simplify. Multiply the numerators: one times four equals four. Multiply the denominators: two times three equals six. This gives us four-sixths. We can simplify by dividing both numerator and denominator by two, giving us our final answer: two-thirds. So one-half divided by three-fourths equals two-thirds.