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

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:04 Find the point on the axis
00:07 To connect, we'll go right (positive) on the axis
00:17 Multiply the fraction by 3 to get a common denominator
00:22 Make sure to multiply both numerator and denominator
00:30 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

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

2

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}

3

Final Answer

79 \frac{7}{9}

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a is negative number.

b is negative number.

What is the sum of a+b?

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