Solve Fraction Multiplication: 4/4 × 1/2 Step-by-Step

Fraction Multiplication with Whole Number Fractions

44×12= \frac{4}{4}\times\frac{1}{2}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Make sure to multiply numerator by numerator and denominator by denominator
00:06 Simplify what we can
00:10 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

44×12= \frac{4}{4}\times\frac{1}{2}=

2

Step-by-step solution

When we have a multiplication of fractions, we multiply numerator by numerator and denominator by denominator:

4*1 = 4
4*2 8

We can reduce the result, so we get:

4:4 = 1
8:4 2

And thus we arrived at the result, one half.

Similarly, we can see that the first fraction (4/4) is actually 1, because when the numerator and denominator are equal it means the fraction equals 1,
and since we know that any number multiplied by 1 remains the same number, we can conclude that the solution remains one half.

3

Final Answer

12 \frac{1}{2}

Key Points to Remember

Essential concepts to master this topic
  • Rule: Multiply numerators together, then multiply denominators together
  • Technique: Recognize that 44=1 \frac{4}{4} = 1 simplifies the problem
  • Check: Verify that 1×12=12 1 \times \frac{1}{2} = \frac{1}{2}

Common Mistakes

Avoid these frequent errors
  • Adding fractions instead of multiplying
    Don't add numerators and denominators like 4+14+2=56 \frac{4+1}{4+2} = \frac{5}{6} ! This gives completely wrong results because addition and multiplication follow different rules. Always multiply straight across: numerator times numerator, denominator times denominator.

Practice Quiz

Test your knowledge with interactive questions

\( \frac{1}{4}\times\frac{1}{2}= \)

FAQ

Everything you need to know about this question

Why does 44 \frac{4}{4} equal 1?

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When the numerator and denominator are the same, the fraction equals 1! Think of it as dividing something into 4 parts and taking all 4 parts - you have the whole thing, which is 1.

Do I always multiply straight across?

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Yes! For fraction multiplication, always multiply numerator × numerator and denominator × denominator. This is different from adding fractions where you need common denominators.

Should I simplify before or after multiplying?

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You can do either! In this problem, recognizing that 44=1 \frac{4}{4} = 1 first makes it easier: 1×12=12 1 \times \frac{1}{2} = \frac{1}{2} .

What if I get 48 \frac{4}{8} as my answer?

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That's the right calculation, but you need to simplify! 48=4÷48÷4=12 \frac{4}{8} = \frac{4÷4}{8÷4} = \frac{1}{2} . Always reduce fractions to their simplest form.

How do I know when to multiply fractions?

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Look for the multiplication symbol (×) or the word "of" between fractions. Unlike addition, you don't need common denominators for multiplication!

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