Simplify 1050/1200 to Lowest Terms
1050/1200 simplified to its lowest terms is 7/8 (or 0.875 in decimal). See how to reduce 1050/1200 using Greatest Common Divisor (GCD = 150).
Exact Answer
1050/1200 = 7/8
Simplified Fraction
7/8
Mixed Number
Proper (7/8)
Decimal Value
0.875
Percentage
87.5%
Step-by-Step Solution: 1050/1200 = 7/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1050:
• Factors of 1200:
• Factors of 1050:
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70• Factors of 1200:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
GCD(1050, 1200) = 150
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 150. Divide both the numerator (1050) and denominator (1200) by 150.
1050 ÷ 150/1200 ÷ 150 = 7/8
Visual Representation
The diagram below illustrates Simplify 1050/1200 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/8 |
| Mixed Number Form | 7/8 |
| Decimal Form | 0.875 |
| Percentage | 87.5% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 1050/1200 in simplest form?
1050/1200 simplified to lowest terms is 7/8.
What is the GCD (GCF) of 1050 and 1200?
The Greatest Common Divisor (GCD) of 1050 and 1200 is 150.
What are equivalent fractions to 1050/1200?
Equivalent fractions to 1050/1200 include 14/16, 21/24, and 28/32.