Simplify 1200/1600 to Lowest Terms
1200/1600 simplified to its lowest terms is 3/4 (or 0.75 in decimal). See how to reduce 1200/1600 using Greatest Common Divisor (GCD = 400).
Exact Answer
1200/1600 = 3/4
Simplified Fraction
3/4
Mixed Number
Proper (3/4)
Decimal Value
0.75
Percentage
75%
Step-by-Step Solution: 1200/1600 = 3/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1200:
• Factors of 1600:
• Factors of 1200:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40• Factors of 1600:
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160
GCD(1200, 1600) = 400
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 400. Divide both the numerator (1200) and denominator (1600) by 400.
1200 ÷ 400/1600 ÷ 400 = 3/4
Visual Representation
The diagram below illustrates Simplify 1200/1600 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/4 |
| Mixed Number Form | 3/4 |
| Decimal Form | 0.75 |
| Percentage | 75% |
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Frequently Asked Questions
What is 1200/1600 in simplest form?
1200/1600 simplified to lowest terms is 3/4.
What is the GCD (GCF) of 1200 and 1600?
The Greatest Common Divisor (GCD) of 1200 and 1600 is 400.
What are equivalent fractions to 1200/1600?
Equivalent fractions to 1200/1600 include 6/8, 9/12, and 12/16.