Simplify 900/1400 to Lowest Terms
900/1400 simplified to its lowest terms is 9/14 (or 0.642857 in decimal). See how to reduce 900/1400 using Greatest Common Divisor (GCD = 100).
Exact Answer
900/1400 = 9/14
Simplified Fraction
9/14
Mixed Number
Proper (9/14)
Decimal Value
0.642857
Percentage
64.2857%
Step-by-Step Solution: 900/1400 = 9/14
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 900:
• Factors of 1400:
• Factors of 900:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45• Factors of 1400:
1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70
GCD(900, 1400) = 100
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 100. Divide both the numerator (900) and denominator (1400) by 100.
900 ÷ 100/1400 ÷ 100 = 9/14
Visual Representation
The diagram below illustrates Simplify 900/1400 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 9/14 |
| Mixed Number Form | 9/14 |
| Decimal Form | 0.642857 |
| Percentage | 64.2857% |
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Frequently Asked Questions
What is 900/1400 in simplest form?
900/1400 simplified to lowest terms is 9/14.
What is the GCD (GCF) of 900 and 1400?
The Greatest Common Divisor (GCD) of 900 and 1400 is 100.
What are equivalent fractions to 900/1400?
Equivalent fractions to 900/1400 include 18/28, 27/42, and 36/56.