Question

number - fractions - add unlike mixed numbers find the sum. simplify your answer. $5 \frac{7}{18} + 4 \frac{3}{6} = \square$

Explanation:

Step1: Add the whole numbers

First, we add the whole number parts of the mixed numbers. The whole numbers are 5 and 4. So, \(5 + 4 = 9\).

Step2: Convert the fraction to have a common denominator

Next, we need to add the fractional parts. The fractions are \(\frac{7}{18}\) and \(\frac{3}{6}\). We need to make the denominators the same. The least common denominator of 18 and 6 is 18. So, we convert \(\frac{3}{6}\) to eighteenths. To do this, we multiply the numerator and denominator of \(\frac{3}{6}\) by 3: \(\frac{3\times3}{6\times3}=\frac{9}{18}\).

Step3: Add the fractional parts

Now we add the fractional parts: \(\frac{7}{18}+\frac{9}{18}=\frac{7 + 9}{18}=\frac{16}{18}\). We can simplify \(\frac{16}{18}\) by dividing both the numerator and denominator by 2: \(\frac{16\div2}{18\div2}=\frac{8}{9}\).

Step4: Combine the whole number and the fraction

Finally, we combine the whole number part (which we found in Step1) and the simplified fractional part (which we found in Step3). So, \(9+\frac{8}{9}=9\frac{8}{9}\).

Answer:

\(9\frac{8}{9}\)