Simplify 102/72 to Lowest Terms
102/72 simplified to its lowest terms is 17/12 (or 1.416667 in decimal). See how to reduce 102/72 using Greatest Common Divisor (GCD = 6).
Exact Answer
102/72 = 17/12
Simplified Fraction
17/12
Mixed Number
1 5/12
Decimal Value
1.416667
Percentage
141.6667%
Step-by-Step Solution: 102/72 = 17/12
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 102:
• Factors of 72:
• Factors of 102:
1, 2, 3, 6, 17, 34, 51, 102• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
GCD(102, 72) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (102) and denominator (72) by 6.
102 ÷ 6/72 ÷ 6 = 17/12
Step 3
Convert Improper Fraction to a Mixed Number
Because 17 is larger than 12, 17/12 can also be written as the mixed number 1 5/12.
17/12 = 15/12
Visual Representation
The diagram below illustrates Simplify 102/72 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 17/12 |
| Mixed Number Form | 1 5/12 |
| Decimal Form | 1.416667 |
| Percentage | 141.6667% |
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Frequently Asked Questions
What is 102/72 in simplest form?
102/72 simplified to lowest terms is 17/12.
What is the GCD (GCF) of 102 and 72?
The Greatest Common Divisor (GCD) of 102 and 72 is 6.
What are equivalent fractions to 102/72?
Equivalent fractions to 102/72 include 34/24, 51/36, and 68/48.