Simplify 972/3240 to Lowest Terms
972/3240 simplified to its lowest terms is 3/10 (or 0.3 in decimal). See how to reduce 972/3240 using Greatest Common Divisor (GCD = 324).
Exact Answer
972/3240 = 3/10
Simplified Fraction
3/10
Mixed Number
Proper (3/10)
Decimal Value
0.3
Percentage
30%
Step-by-Step Solution: 972/3240 = 3/10
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 972:
• Factors of 3240:
• Factors of 972:
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324• Factors of 3240:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30
GCD(972, 3240) = 324
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 324. Divide both the numerator (972) and denominator (3240) by 324.
972 ÷ 324/3240 ÷ 324 = 3/10
Visual Representation
The diagram below illustrates Simplify 972/3240 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/10 |
| Mixed Number Form | 3/10 |
| Decimal Form | 0.3 |
| Percentage | 30% |
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Frequently Asked Questions
What is 972/3240 in simplest form?
972/3240 simplified to lowest terms is 3/10.
What is the GCD (GCF) of 972 and 3240?
The Greatest Common Divisor (GCD) of 972 and 3240 is 324.
What are equivalent fractions to 972/3240?
Equivalent fractions to 972/3240 include 6/20, 9/30, and 12/40.