Question

find the sum. simplify your answer. 7 9/18 + 1 2/6 =

Explanation:

Step1: Add the whole numbers

Add the whole number parts of the mixed numbers: \(7 + 1 = 8\)

Step2: Find a common denominator for the fractions

The denominators are 18 and 6. The least common denominator of 18 and 6 is 18. Rewrite \(\frac{2}{6}\) with denominator 18: \(\frac{2}{6}=\frac{2\times3}{6\times3}=\frac{6}{18}\)

Step3: Add the fractions

Add the fractional parts: \(\frac{9}{18}+\frac{6}{18}=\frac{9 + 6}{18}=\frac{15}{18}\)

Step4: Simplify the fraction

Simplify \(\frac{15}{18}\) by dividing numerator and denominator by their greatest common divisor, which is 3: \(\frac{15\div3}{18\div3}=\frac{5}{6}\)

Step5: Combine the whole number and the simplified fraction

Combine the whole number from Step 1 and the simplified fraction from Step 4: \(8+\frac{5}{6}=8\frac{5}{6}\)

Answer:

\(8\frac{5}{6}\)