Solve (12+8)/5: Adding Numbers in Fraction Numerator

Fraction Operations with Numerator Addition

12+85= \frac{12+8}{5}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:04 Let's calculate the numerator
00:11 Let's factor 20 into factors 4 and 5
00:14 Let's reduce what we can
00:17 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

12+85= \frac{12+8}{5}=

2

Step-by-step solution

Let's begin by multiplying the numerator:

12+8=20 12+8=20

We should obtain the fraction written below:

205 \frac{20}{5}

Let's now reduce the numerator and denominator by 5 and we should obtain the following result:

41=4 \frac{4}{1}=4

3

Final Answer

4 4

Key Points to Remember

Essential concepts to master this topic
  • Order: Always simplify the numerator before dividing by denominator
  • Technique: Add numbers first: 12 + 8 = 20, then divide
  • Check: Verify division is exact: 20 ÷ 5 = 4 with no remainder ✓

Common Mistakes

Avoid these frequent errors
  • Dividing each number in numerator separately by denominator
    Don't calculate 12÷5 + 8÷5 = 2.4 + 1.6 = 4! This breaks the order of operations and can lead to wrong answers with different numbers. Always add the numerator completely first, then divide the sum by the denominator.

Practice Quiz

Test your knowledge with interactive questions

\( 0+0.2+0.6= \) ?

FAQ

Everything you need to know about this question

Why can't I just divide 12÷5 and 8÷5 separately?

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The order of operations says to handle what's inside parentheses (or above the fraction line) first! 12+85 \frac{12+8}{5} means (12+8)÷5, not 12÷5 + 8÷5.

What if the numbers in the numerator don't add up to a multiple of the denominator?

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That's totally fine! You'll get a mixed number or decimal. For example, 13+76=206=313 \frac{13+7}{6} = \frac{20}{6} = 3\frac{1}{3} . Just simplify as much as possible.

Do I always need to simplify the final fraction?

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Yes! Always reduce fractions to lowest terms. In this problem, 205 \frac{20}{5} simplifies completely to 4 because 20÷5 = 4 exactly.

How do I know when a fraction equals a whole number?

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When the numerator is divisible by the denominator with no remainder! Like 205=4 \frac{20}{5} = 4 because 20÷5 = 4 exactly.

What's the difference between this and regular fraction addition?

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Here you're adding numbers in the same numerator, not adding separate fractions! 12+85 \frac{12+8}{5} is different from 125+85 \frac{12}{5} + \frac{8}{5} , even though they equal the same thing.

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