Simplify 960/900 to Lowest Terms
960/900 simplified to its lowest terms is 16/15 (or 1.066667 in decimal). See how to reduce 960/900 using Greatest Common Divisor (GCD = 60).
Exact Answer
960/900 = 16/15
Simplified Fraction
16/15
Mixed Number
1 1/15
Decimal Value
1.066667
Percentage
106.6667%
Step-by-Step Solution: 960/900 = 16/15
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 960:
• Factors of 900:
• Factors of 960:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40• Factors of 900:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45
GCD(960, 900) = 60
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 60. Divide both the numerator (960) and denominator (900) by 60.
960 ÷ 60/900 ÷ 60 = 16/15
Step 3
Convert Improper Fraction to a Mixed Number
Because 16 is larger than 15, 16/15 can also be written as the mixed number 1 1/15.
16/15 = 11/15
Visual Representation
The diagram below illustrates Simplify 960/900 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 16/15 |
| Mixed Number Form | 1 1/15 |
| Decimal Form | 1.066667 |
| Percentage | 106.6667% |
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Frequently Asked Questions
What is 960/900 in simplest form?
960/900 simplified to lowest terms is 16/15.
What is the GCD (GCF) of 960 and 900?
The Greatest Common Divisor (GCD) of 960 and 900 is 60.
What are equivalent fractions to 960/900?
Equivalent fractions to 960/900 include 32/30, 48/45, and 64/60.