Solve the Fraction Addition: 1/2 + 3/10 Step by Step

Solve the following exercise:

12+310= \frac{1}{2}+\frac{3}{10}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's solve this math problem step by step.
00:08 First, we'll multiply the fraction by 5 to get a common denominator. This will make it easier to work with.
00:16 Remember, when we multiply a fraction, we need to multiply both the top number (numerator) and bottom number (denominator).
00:24 Now, let's work out these multiplications carefully.
00:28 Great! Now we can add the fractions since they have the same denominator.
00:34 Let's add the numbers in the numerator while keeping the same denominator.
00:38 And there we have it! We've found our solution. Great job following along!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following exercise:

12+310= \frac{1}{2}+\frac{3}{10}=

2

Step-by-step solution

Let's try to find the least common denominator between 2 and 10

To find the least common denominator, we need to find a number that is divisible by both 2 and 10

In this case, the common denominator is 10

Now we'll multiply each fraction by the appropriate number to reach the denominator 10

We'll multiply the first fraction by 5

We'll multiply the second fraction by 1

1×52×5+3×110×1=510+310 \frac{1\times5}{2\times5}+\frac{3\times1}{10\times1}=\frac{5}{10}+\frac{3}{10}

Now we'll combine and get:

5+310=810 \frac{5+3}{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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