Simplify 324/378 to Lowest Terms
324/378 simplified to its lowest terms is 6/7 (or 0.857143 in decimal). See how to reduce 324/378 using Greatest Common Divisor (GCD = 54).
Exact Answer
324/378 = 6/7
Simplified Fraction
6/7
Mixed Number
Proper (6/7)
Decimal Value
0.857143
Percentage
85.7143%
Step-by-Step Solution: 324/378 = 6/7
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 324:
• Factors of 378:
• Factors of 324:
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324• Factors of 378:
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD(324, 378) = 54
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 54. Divide both the numerator (324) and denominator (378) by 54.
324 ÷ 54/378 ÷ 54 = 6/7
Visual Representation
The diagram below illustrates Simplify 324/378 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 6/7 |
| Mixed Number Form | 6/7 |
| Decimal Form | 0.857143 |
| Percentage | 85.7143% |
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Frequently Asked Questions
What is 324/378 in simplest form?
324/378 simplified to lowest terms is 6/7.
What is the GCD (GCF) of 324 and 378?
The Greatest Common Divisor (GCD) of 324 and 378 is 54.
What are equivalent fractions to 324/378?
Equivalent fractions to 324/378 include 12/14, 18/21, and 24/28.