Stuc App Bact Stuc Doc Stuc App Acce -test.cloud-ext.icts.kuleuven.be/bba/ Write as one fraction: \( \frac{c}{a b}+\frac{a}{b c} \). \( \frac{c+a}{a b^{2} c} \) \( \frac{c+a}{a b+b c} \) \( \frac{c^{2}+a^{2}}{a b^{2} c} \) \( \frac{c^{2}+a^{2}}{a b c} \) \( \frac{2}{b} \) Submit answer Created using Numbas, developed by Newcastle, University.
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To combine the fractions \( \frac{c}{a b}+\frac{a}{b c} \), we start by finding a common denominator, which is \( abc \). Rewriting both fractions with this common denominator gives us: \[ \frac{c^2}{abc} + \frac{a^2}{abc} = \frac{c^2 + a^2}{abc}. \] Now we have successfully combined the fractions into one, resulting in \( \frac{c^2 + a^2}{a b c} \). Isn’t math interesting? Just by twisting and turning a couple of fractions, you can unveil gems like \( \frac{c^2 + a^2}{ab c} \)! Remember, knowing your common denominators is like having a trusty map when navigating through fraction town!
