Solve Fraction Multiplication: 1/4 × 4/5 Step-by-Step

Fraction Multiplication with Simplification Steps

14×45= \frac{1}{4}\times\frac{4}{5}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve the problem together.
00:09 Remember, we're going to multiply the numerators first, then multiply the denominators.
00:14 Next, simplify the result by reducing any fractions.
00:18 And there you go! This is how you find the solution. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

14×45= \frac{1}{4}\times\frac{4}{5}=

2

Step-by-step solution

To multiply fractions, we multiply numerator by numerator and denominator by denominator

1*4 = 4

4*5 = 20

4/20

Note that we can simplify this fraction by 4

4/20 = 1/5

3

Final Answer

15 \frac{1}{5}

Key Points to Remember

Essential concepts to master this topic
  • Rule: Multiply numerators together and denominators together
  • Technique: Calculate 1×4=4 and 4×5=20 to get 420 \frac{4}{20}
  • Check: Simplify by dividing both 4 and 20 by their GCD of 4 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to simplify the final answer
    Don't leave 420 \frac{4}{20} as your final answer = incomplete solution! This fraction can be reduced further, and teachers expect simplified answers. Always check if both numerator and denominator share common factors and divide by their GCD.

Practice Quiz

Test your knowledge with interactive questions

Complete the following exercise:

\( \frac{1}{2}:\frac{3}{5}=\text{?} \)

FAQ

Everything you need to know about this question

Why can't I just add the numerators and denominators?

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That's addition of fractions, not multiplication! For multiplication, you multiply straight across: numerator × numerator and denominator × denominator.

How do I know when to simplify my answer?

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Always check if the numerator and denominator have common factors. In 420 \frac{4}{20} , both 4 and 20 are divisible by 4, so you can simplify to 15 \frac{1}{5} .

Can I simplify before multiplying?

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Yes! This is called cross-canceling. Notice that the 4 in the numerator and denominator can cancel: 14×45=15 \frac{1}{\cancel{4}} \times \frac{\cancel{4}}{5} = \frac{1}{5}

What if one of the fractions is a whole number?

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Convert the whole number to a fraction first! For example, 3 becomes 31 \frac{3}{1} , then multiply normally.

How do I check if my simplified answer is correct?

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Convert both fractions to decimals: 420=0.2 \frac{4}{20} = 0.2 and 15=0.2 \frac{1}{5} = 0.2 . If they're equal, your simplification is correct!

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