Simplify 960/3496 to Lowest Terms
960/3496 simplified to its lowest terms is 120/437 (or 0.2746 in decimal). See how to reduce 960/3496 using Greatest Common Divisor (GCD = 8).
Exact Answer
960/3496 = 120/437
Simplified Fraction
120/437
Mixed Number
Proper (120/437)
Decimal Value
0.2746
Percentage
27.46%
Step-by-Step Solution: 960/3496 = 120/437
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 960:
• Factors of 3496:
• Factors of 960:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40• Factors of 3496:
1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748, 3496
GCD(960, 3496) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (960) and denominator (3496) by 8.
960 ÷ 8/3496 ÷ 8 = 120/437
Visual Representation
The diagram below illustrates Simplify 960/3496 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 120/437 |
| Mixed Number Form | 120/437 |
| Decimal Form | 0.2746 |
| Percentage | 27.46% |
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Frequently Asked Questions
What is 960/3496 in simplest form?
960/3496 simplified to lowest terms is 120/437.
What is the GCD (GCF) of 960 and 3496?
The Greatest Common Divisor (GCD) of 960 and 3496 is 8.
What are equivalent fractions to 960/3496?
Equivalent fractions to 960/3496 include 240/874, 360/1311, and 480/1748.