Simplify 72/102 to Lowest Terms
72/102 simplified to its lowest terms is 12/17 (or 0.705882 in decimal). See how to reduce 72/102 using Greatest Common Divisor (GCD = 6).
Exact Answer
72/102 = 12/17
Simplified Fraction
12/17
Mixed Number
Proper (12/17)
Decimal Value
0.705882
Percentage
70.5882%
Step-by-Step Solution: 72/102 = 12/17
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 102:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 102:
1, 2, 3, 6, 17, 34, 51, 102
GCD(72, 102) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (72) and denominator (102) by 6.
72 ÷ 6/102 ÷ 6 = 12/17
Visual Representation
The diagram below illustrates Simplify 72/102 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 12/17 |
| Mixed Number Form | 12/17 |
| Decimal Form | 0.705882 |
| Percentage | 70.5882% |
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Frequently Asked Questions
What is 72/102 in simplest form?
72/102 simplified to lowest terms is 12/17.
What is the GCD (GCF) of 72 and 102?
The Greatest Common Divisor (GCD) of 72 and 102 is 6.
What are equivalent fractions to 72/102?
Equivalent fractions to 72/102 include 24/34, 36/51, and 48/68.