How to Multiply Fractions

Multiplying fractions is a straightforward process. Follow these steps to multiply fractions:

Step 1: Understand the Concept:

Before you start, it’s helpful to understand that when you multiply fractions, you’re essentially finding a portion of a portion.

Step 2: Write Down the Fractions:

Write down the two fractions you want to multiply. For example, let’s use:

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Step 3: Multiply the Numerators:

Multiply the numerators (the top numbers) together:

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Step 4: Multiply the Denominators:

Multiply the denominators (the bottom numbers) together:

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Step 5: Simplify (if Necessary):

If possible, simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it.

Step 6: Write the Result:

Write the result in fractional form:

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Example:

Let’s say you want to multiply 3443​ and 2552​:

  1. Multiply the numerators:3×2=63×2=6
  2. Multiply the denominators:4×5=204×5=20
  3. Simplify (if necessary):In this case, the fraction is already in its simplest form.
  4. Write the result:620206​However, this fraction can be further simplified by finding the GCD of 6 and 20, which is 2. Dividing both the numerator and denominator by 2 gives:310103​

So, 3443​ times 2552​ equals 310103​.

Remember, practice is key to mastering this skill. With more examples and practice, you’ll become more confident in multiplying fractions.

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