Simplify 1302/1488 to Lowest Terms
1302/1488 simplified to its lowest terms is 7/8 (or 0.875 in decimal). See how to reduce 1302/1488 using Greatest Common Divisor (GCD = 186).
Exact Answer
1302/1488 = 7/8
Simplified Fraction
7/8
Mixed Number
Proper (7/8)
Decimal Value
0.875
Percentage
87.5%
Step-by-Step Solution: 1302/1488 = 7/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1302:
• Factors of 1488:
• Factors of 1302:
1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302• Factors of 1488:
1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248
GCD(1302, 1488) = 186
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 186. Divide both the numerator (1302) and denominator (1488) by 186.
1302 ÷ 186/1488 ÷ 186 = 7/8
Visual Representation
The diagram below illustrates Simplify 1302/1488 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/8 |
| Mixed Number Form | 7/8 |
| Decimal Form | 0.875 |
| Percentage | 87.5% |
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Frequently Asked Questions
What is 1302/1488 in simplest form?
1302/1488 simplified to lowest terms is 7/8.
What is the GCD (GCF) of 1302 and 1488?
The Greatest Common Divisor (GCD) of 1302 and 1488 is 186.
What are equivalent fractions to 1302/1488?
Equivalent fractions to 1302/1488 include 14/16, 21/24, and 28/32.