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How to Multiply Fractions With the Same Denominator

Two different integers compose a fraction. The top integer is called its numerator, and the bottom one is its denominator. Fractional math has rigid rules for common operations like addition and subtraction, requiring that the denominators of both fractions involved be the same. For higher-order operations like multiplication, the denominators do not have to equal each other --- though when they do, they can accelerate the process by incorporating other mathematical functions like squaring a number.

Instructions

    • 1

      Obtain two fractions with the same denominator. For this example, let the fractions be 7/10 and 9/10.

    • 2

      Square one of the denominators. In this example, 10 squared is 100.

    • 3

      Multiply one numerator by the other. In this example, 7 multiplied by 9 equals 63.

    • 4

      Write the product of the numerators over the squared denominator for the answer. For this example, writing 63 over 100 results in 63/100.

    • 5

      Simplify the fraction if it needs it. Simplifying a fraction means to reduce it to its lowest terms possible by canceling out common factors other than the number 1. For example, in the fraction 2/8, the numerator and denominator both have 2 as factors, where 2/8 equals 2*1/2*4. Canceling out 2 from both the numerator and denominator results in 1/4. Concluding the example, 63 and 100 have no common factors larger than 1, so the fraction cannot be simplified. The final fraction is 63/100.

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