Solve Fraction Addition: 1/4 + 5/8 Step-by-Step

Solve the following equation:

14+58= \frac{1}{4}+\frac{5}{8}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's solve this problem together.
00:08 First, multiply the fraction by 2, so we have a common denominator.
00:13 Remember, multiply both the numerator and the denominator by 2.
00:18 Now, calculate the results of these multiplications.
00:26 Next, add the fractions with the common denominator.
00:30 And there you have it! That's the final solution to our question.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following equation:

14+58= \frac{1}{4}+\frac{5}{8}=

2

Step-by-step solution

We must first identify the lowest common denominator between 4 and 8.

In order to determine the lowest common denominator, we need to find a number that is divisible by both 4 and 8.

In this case, the common denominator is 8.

We will then proceed to multiply each fraction by the appropriate number to reach the denominator 8.

We'll multiply the first fraction by 2

We'll multiply the second fraction by 1

1×24×2+5×18×1=28+58 \frac{1\times2}{4\times2}+\frac{5\times1}{8\times1}=\frac{2}{8}+\frac{5}{8}

Finally we'll combine and obtain the following:

2+58=78 \frac{2+5}{8}=\frac{7}{8}

3

Final Answer

78 \frac{7}{8}

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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