Fraction Calculator: Multiply Three Fractions
Expert Guide to Multiplying Three Fractions
Introduction & Importance
Fraction multiplication is a fundamental concept in mathematics. Multiplying three fractions is a common task that requires understanding of fraction basics and multiplication rules.
How to Use This Calculator
- Enter the numerators and denominators of the three fractions in the input fields.
- Click the “Calculate” button.
- View the result in the “Results” section.
Formula & Methodology
To multiply three fractions, you multiply the numerators together and the denominators together. The result is a new fraction.
Formula: (a/b) * (c/d) * (e/f) = (a*c*e) / (b*d*f)
Real-World Examples
Example 1
Multiply 1/2, 3/4, and 5/6:
(1*3*5) / (2*4*6) = 15 / 48 = 5/16
Example 2
Multiply 3/8, 2/3, and 7/9:
(3*2*7) / (8*3*9) = 42 / 216 = 7/36
Example 3
Multiply 5/11, 6/7, and 9/10:
(5*6*9) / (11*7*10) = 270 / 770 = 27/77
Data & Statistics
| Fractions | Manual Calculation | Calculator Result |
|---|---|---|
| 1/2 * 3/4 * 5/6 | 5/16 | 5/16 |
| 3/8 * 2/3 * 7/9 | 7/36 | 7/36 |
| Fractions | Multiplication | Addition | Subtraction |
|---|---|---|---|
| 1/2 * 3/4 * 5/6 | 5/16 | N/A | N/A |
| 3/8 * 2/3 * 7/9 | 7/36 | N/A | N/A |
Expert Tips
- Always check your work by dividing the result by each of the original fractions.
- To simplify the result, find the greatest common divisor (GCD) of the numerator and denominator.
- Practice makes perfect. The more you multiply fractions, the better you’ll get.
Interactive FAQ
What if I don’t know the denominators?
You can leave the denominator fields blank and the calculator will use 1 as the default value.
Can I multiply more than three fractions?
Yes, you can enter up to five fractions in the calculator. For more than five, you’ll need to use a different tool.
Why do I get different results than expected?
Make sure you’re entering the fractions correctly. Fractions are in the format ‘numerator/denominator’.