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How to Multiply Fractions

Don't let math intimidate you. Whether you're multiplying two fractions or a fraction and a whole number, solve the problem without a calculator in just a few steps.


  • Step 1: Write the problem Write the first number or fraction, a multiplication sign, and then the second number or fraction. This will help you visualize the steps you need to take to multiply them.
  • Step 2: Know what the numerators and denominators are Know that the numbers on the top of your fractions are called numerators. The bottom numbers are called denominators.
  • Step 3: Convert whole numbers to fractions Convert whole numbers in your math problem into fractions by making the whole number the numerator and using the number 1 as its denominator.
  • TIP: Convert the whole number 7 into the fraction 7 over 1.
  • Step 4: Convert mixed numbers to one fraction Convert mixed numbers to a single fraction by multiplying the whole number by the denominator and then adding it to the numerator. Keep the denominator the same.
  • TIP: For example, convert 2 3/4 by multiplying 2 times 4 and adding it to 3. The numerator will be 11 and the denominator will remain 4.
  • Step 5: Multiply the numerators Multiply the numerators in your fractions to find the numerator of your final answer.
  • Step 6: Multiply the denominators Multiply the denominators in your fractions to find the denominator of your final answer.
  • Step 7: Reduce to find the final answer Reduce the answer by dividing both the numerator and the denominator by the greatest common factor. Finish your math problem by writing an equal sign followed by your final answer. Keep practicing, and soon fractions will be your friends.
  • FACT: Pythagoras, an early Greek mathematician, believed that numbers carried great symbolism. Odd numbers were considered masculine and strong, while even numbers were female and weak.

You Will Need

  • Basic understanding of math
  • Paper
  • Pen or pencil

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