Solve the Fraction Addition: 1/5 + 6/10 Step by Step

Solve the following equation:

15+610= \frac{1}{5}+\frac{6}{10}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Multiply the fraction by 2 to find the common denominator
00:07 Make sure to multiply both numerator and denominator
00:14 Calculate the products
00:20 Add with the common denominator
00:24 Calculate the numerator
00:28 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following equation:

15+610= \frac{1}{5}+\frac{6}{10}=

2

Step-by-step solution

We must first identify the lowest common denominator between 5 and 10.

In order to determine the lowest common denominator, we need to find a number that is divisible by both 5 and 10.

In this case, the common denominator is 10.

We will proceed to multiply each fraction by the appropriate number to reach the denominator 10.

We'll multiply the first fraction by 2

We'll multiply the second fraction by 1

1×25×2+6×110×1=210+610 \frac{1\times2}{5\times2}+\frac{6\times1}{10\times1}=\frac{2}{10}+\frac{6}{10}

Finally we'll combine and obtain the following:

2+610=810 \frac{2+6}{10}=\frac{8}{10}

3

Final Answer

810 \frac{8}{10}

Practice Quiz

Test your knowledge with interactive questions

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

\( 5:6= \)

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