Solve the Fraction Addition: 1/9 + 2/3 Step-by-Step

Question

(+19)+(+23)= ? (+\frac{1}{9})+(+\frac{2}{3})=\text{ ?}

Video Solution

Step-by-Step Solution

Let's multiply the numerator and denominator of the fraction 23 \frac{2}{3} by 3 and the numerator and denominator of the fraction 19 \frac{1}{9} by 1 in order to find a common denominator:

2×33×3=69 \frac{2\times3}{3\times3}=\frac{6}{9}

1×19×1=19 \frac{1\times1}{9\times1}=\frac{1}{9}

Finally let's perform the addition operation to find our answer:

19+69=79 \frac{1}{9}+\frac{6}{9}=\frac{7}{9}

Answer

79 \frac{7}{9}