Simplify 1302/1680 to Lowest Terms
1302/1680 simplified to its lowest terms is 31/40 (or 0.775 in decimal). See how to reduce 1302/1680 using Greatest Common Divisor (GCD = 42).
Exact Answer
1302/1680 = 31/40
Simplified Fraction
31/40
Mixed Number
Proper (31/40)
Decimal Value
0.775
Percentage
77.5%
Step-by-Step Solution: 1302/1680 = 31/40
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1302:
• Factors of 1680:
• Factors of 1302:
1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302• Factors of 1680:
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24
GCD(1302, 1680) = 42
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 42. Divide both the numerator (1302) and denominator (1680) by 42.
1302 ÷ 42/1680 ÷ 42 = 31/40
Visual Representation
The diagram below illustrates Simplify 1302/1680 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 31/40 |
| Mixed Number Form | 31/40 |
| Decimal Form | 0.775 |
| Percentage | 77.5% |
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Frequently Asked Questions
What is 1302/1680 in simplest form?
1302/1680 simplified to lowest terms is 31/40.
What is the GCD (GCF) of 1302 and 1680?
The Greatest Common Divisor (GCD) of 1302 and 1680 is 42.
What are equivalent fractions to 1302/1680?
Equivalent fractions to 1302/1680 include 62/80, 93/120, and 124/160.