Simplify 102/272 to Lowest Terms
102/272 simplified to its lowest terms is 3/8 (or 0.375 in decimal). See how to reduce 102/272 using Greatest Common Divisor (GCD = 34).
Exact Answer
102/272 = 3/8
Simplified Fraction
3/8
Mixed Number
Proper (3/8)
Decimal Value
0.375
Percentage
37.5%
Step-by-Step Solution: 102/272 = 3/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 102:
• Factors of 272:
• Factors of 102:
1, 2, 3, 6, 17, 34, 51, 102• Factors of 272:
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD(102, 272) = 34
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 34. Divide both the numerator (102) and denominator (272) by 34.
102 ÷ 34/272 ÷ 34 = 3/8
Visual Representation
The diagram below illustrates Simplify 102/272 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/8 |
| Mixed Number Form | 3/8 |
| Decimal Form | 0.375 |
| Percentage | 37.5% |
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Frequently Asked Questions
What is 102/272 in simplest form?
102/272 simplified to lowest terms is 3/8.
What is the GCD (GCF) of 102 and 272?
The Greatest Common Divisor (GCD) of 102 and 272 is 34.
What are equivalent fractions to 102/272?
Equivalent fractions to 102/272 include 6/16, 9/24, and 12/32.