WWW-awu aleks, com/alekscgi/x/isl.exe/ 10 u-IgNsikr7jge Fractions Addilion or sutiraction of fractions wilt the same denominator andm. Add. Write your answer as a fraction in simnlest form, \[ \frac{11}{16}+\frac{9}{16} \]
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The Deep Dive
Adding fractions with the same denominator is straightforward! Just add the numerators together while keeping the denominator the same. So, \(\frac{11}{16} + \frac{9}{16} = \frac{11 + 9}{16} = \frac{20}{16}\). Now, simplify \(\frac{20}{16}\) by dividing both the numerator and denominator by their greatest common divisor, which is 4. This gives us \(\frac{5}{4}\) or 1.25 in decimal form! Now, let's make sure we're not forgetting to simplify in future problems! A common mistake is leaving fractions in their more complex forms. Always check if you can reduce to make things easier! For instance, in this problem, after obtaining \(\frac{20}{16}\), you had to simplify it to get the final answer in simplest form, \(\frac{5}{4}\). Keep an eye on that!