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Math Help - Can someone help me out with this question

  1. #1
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    Can someone help me out with this question

    To add numbers with different denominators, a student is consistently using the product of the denominators as a common denominator. Is this correct? Why or why not? Give an example to support your answer
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  2. #2
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    Quote Originally Posted by Retiredyoung24@yahoo.com View Post
    To add numbers with different denominators, a student is consistently using the product of the denominators as a common denominator. Is this correct? Why or why not? Give an example to support your answer
    Hi,

    let the two fractions be: \frac{a}{b}\ \text{and}\ \frac{c}{d}

    b\neq 0\ and\ d\neq 0

    The sum becomes then:

    \frac{a}{b}+ \frac{c}{d}=\frac{a\cdot d}{b\cdot d}+ \frac{c\cdot b}{d\cdot b}=\frac{ad+bc}{bd}

    The numerator and denominator of this result might be large numbers but the result itself is always correct.

    EB
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