what is the relationship between adding fractions and multiplying fractions
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Answer:
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IN adding fractions:
- You must have a common denominator on each fraction
- Once you have a common denominator you add just the numerators
- Once you have a common denominator the denominator of the sum is the same as the denominator of each fraction.
\begin{gathered}\binom{a}{b} + \binom{c}{b} \: = \binom{a + c}{b} \\\end{gathered}(ba)+(bc)=(ba+c)
When mulitplying fractions:
- You do not need to have a common denominator on each fraction
- You multiply the numerators
- You multiply the denominators
\begin{gathered}\binom{a}{b} \times \binom{c}{d} = \binom{a \times c}{b \times d} \\ \\ \\ \\ \\\end{gathered}(ba)×(dc)=(b×da×c)
Answer:
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Explanation:
Adding fraction
The denominators of all of the fractions must be the same. The only difference is that the numerators are subtracted rather than added.
Multiplying fraction
Multiplying fractions does not require that the fractions have the same denominator.