Simplify 702/1200 to Lowest Terms
702/1200 simplified to its lowest terms is 117/200 (or 0.585 in decimal). See how to reduce 702/1200 using Greatest Common Divisor (GCD = 6).
Exact Answer
702/1200 = 117/200
Simplified Fraction
117/200
Mixed Number
Proper (117/200)
Decimal Value
0.585
Percentage
58.5%
Step-by-Step Solution: 702/1200 = 117/200
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 702:
• Factors of 1200:
• Factors of 702:
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702• Factors of 1200:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
GCD(702, 1200) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (702) and denominator (1200) by 6.
702 ÷ 6/1200 ÷ 6 = 117/200
Visual Representation
The diagram below illustrates Simplify 702/1200 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 117/200 |
| Mixed Number Form | 117/200 |
| Decimal Form | 0.585 |
| Percentage | 58.5% |
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Frequently Asked Questions
What is 702/1200 in simplest form?
702/1200 simplified to lowest terms is 117/200.
What is the GCD (GCF) of 702 and 1200?
The Greatest Common Divisor (GCD) of 702 and 1200 is 6.
What are equivalent fractions to 702/1200?
Equivalent fractions to 702/1200 include 234/400, 351/600, and 468/800.