Simplify 1200/1340 to Lowest Terms
1200/1340 simplified to its lowest terms is 60/67 (or 0.895522 in decimal). See how to reduce 1200/1340 using Greatest Common Divisor (GCD = 20).
Exact Answer
1200/1340 = 60/67
Simplified Fraction
60/67
Mixed Number
Proper (60/67)
Decimal Value
0.895522
Percentage
89.5522%
Step-by-Step Solution: 1200/1340 = 60/67
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1200:
• Factors of 1340:
• Factors of 1200:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40• Factors of 1340:
1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340
GCD(1200, 1340) = 20
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (1200) and denominator (1340) by 20.
1200 ÷ 20/1340 ÷ 20 = 60/67
Visual Representation
The diagram below illustrates Simplify 1200/1340 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 60/67 |
| Mixed Number Form | 60/67 |
| Decimal Form | 0.895522 |
| Percentage | 89.5522% |
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Frequently Asked Questions
What is 1200/1340 in simplest form?
1200/1340 simplified to lowest terms is 60/67.
What is the GCD (GCF) of 1200 and 1340?
The Greatest Common Divisor (GCD) of 1200 and 1340 is 20.
What are equivalent fractions to 1200/1340?
Equivalent fractions to 1200/1340 include 120/134, 180/201, and 240/268.