Simplify 2142/6960 to Lowest Terms
2142/6960 simplified to its lowest terms is 357/1160 (or 0.307759 in decimal). See how to reduce 2142/6960 using Greatest Common Divisor (GCD = 6).
Exact Answer
2142/6960 = 357/1160
Simplified Fraction
357/1160
Mixed Number
Proper (357/1160)
Decimal Value
0.307759
Percentage
30.7759%
Step-by-Step Solution: 2142/6960 = 357/1160
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 2142:
• Factors of 6960:
• Factors of 2142:
1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119• Factors of 6960:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40
GCD(2142, 6960) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (2142) and denominator (6960) by 6.
2142 ÷ 6/6960 ÷ 6 = 357/1160
Visual Representation
The diagram below illustrates Simplify 2142/6960 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 357/1160 |
| Mixed Number Form | 357/1160 |
| Decimal Form | 0.307759 |
| Percentage | 30.7759% |
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Frequently Asked Questions
What is 2142/6960 in simplest form?
2142/6960 simplified to lowest terms is 357/1160.
What is the GCD (GCF) of 2142 and 6960?
The Greatest Common Divisor (GCD) of 2142 and 6960 is 6.
What are equivalent fractions to 2142/6960?
Equivalent fractions to 2142/6960 include 714/2320, 1071/3480, and 1428/4640.