Simplify 690/1200 to Lowest Terms
690/1200 simplified to its lowest terms is 23/40 (or 0.575 in decimal). See how to reduce 690/1200 using Greatest Common Divisor (GCD = 30).
Exact Answer
690/1200 = 23/40
Simplified Fraction
23/40
Mixed Number
Proper (23/40)
Decimal Value
0.575
Percentage
57.5%
Step-by-Step Solution: 690/1200 = 23/40
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 690:
• Factors of 1200:
• Factors of 690:
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690• Factors of 1200:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
GCD(690, 1200) = 30
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 30. Divide both the numerator (690) and denominator (1200) by 30.
690 ÷ 30/1200 ÷ 30 = 23/40
Visual Representation
The diagram below illustrates Simplify 690/1200 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 23/40 |
| Mixed Number Form | 23/40 |
| Decimal Form | 0.575 |
| Percentage | 57.5% |
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Frequently Asked Questions
What is 690/1200 in simplest form?
690/1200 simplified to lowest terms is 23/40.
What is the GCD (GCF) of 690 and 1200?
The Greatest Common Divisor (GCD) of 690 and 1200 is 30.
What are equivalent fractions to 690/1200?
Equivalent fractions to 690/1200 include 46/80, 69/120, and 92/160.