Simplify 1032/960 to Lowest Terms
1032/960 simplified to its lowest terms is 43/40 (or 1.075 in decimal). See how to reduce 1032/960 using Greatest Common Divisor (GCD = 24).
Exact Answer
1032/960 = 43/40
Simplified Fraction
43/40
Mixed Number
1 3/40
Decimal Value
1.075
Percentage
107.5%
Step-by-Step Solution: 1032/960 = 43/40
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1032:
• Factors of 960:
• Factors of 1032:
1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, 1032• Factors of 960:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40
GCD(1032, 960) = 24
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 24. Divide both the numerator (1032) and denominator (960) by 24.
1032 ÷ 24/960 ÷ 24 = 43/40
Step 3
Convert Improper Fraction to a Mixed Number
Because 43 is larger than 40, 43/40 can also be written as the mixed number 1 3/40.
43/40 = 13/40
Visual Representation
The diagram below illustrates Simplify 1032/960 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 43/40 |
| Mixed Number Form | 1 3/40 |
| Decimal Form | 1.075 |
| Percentage | 107.5% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 1032/960 in simplest form?
1032/960 simplified to lowest terms is 43/40.
What is the GCD (GCF) of 1032 and 960?
The Greatest Common Divisor (GCD) of 1032 and 960 is 24.
What are equivalent fractions to 1032/960?
Equivalent fractions to 1032/960 include 86/80, 129/120, and 172/160.