How do you divide fractions by integers?Change division to multiplication, 3 steps

Mondo Education Updated on 2024-01-31

The process of dividing a fraction by an integer is actually quite simple and only requires a few basic steps to follow. Let's understand the process through this concrete example.

Case:Step 1: First, we need to make sure that both our fractions and integers are in their simplest form. In this case, it's already in its simplest form, so we can go straight to the next step.

Step 2: Then, we need to turn our integer into its reciprocal. In this example, the reciprocal of 2 is:

Step 3Next, we need to multiply our score by the reciprocal of 2. Calculation results:

Step 4: Finally, what we get is the result. If it is not the simplest score, it must be converted to the simplest score, and the simplest score is the final calculation result. In this case, the score is already the simplest and does not need to be simplified.

This method works when any fraction is divided by any non-zero integer. Let's summarize:

Fraction divided by an integer.

Step 1: Turn the integer into a reciprocal, i.e. a fraction of an integer. If 2, the reciprocal is ;

Step 2: Multiply the reciprocal of the fraction by the integer, multiply the numerator by the numerator, and multiply the denominator by the denominator as the denominator.

Step 3: If the score of the calculation result is not the simplest score, you need to convert it into the simplest score for the final result.

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