Simplify 72/126 to Lowest Terms
72/126 simplified to its lowest terms is 4/7 (or 0.571429 in decimal). See how to reduce 72/126 using Greatest Common Divisor (GCD = 18).
Exact Answer
72/126 = 4/7
Simplified Fraction
4/7
Mixed Number
Proper (4/7)
Decimal Value
0.571429
Percentage
57.1429%
Step-by-Step Solution: 72/126 = 4/7
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 126:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 126:
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD(72, 126) = 18
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 18. Divide both the numerator (72) and denominator (126) by 18.
72 ÷ 18/126 ÷ 18 = 4/7
Visual Representation
The diagram below illustrates Simplify 72/126 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/7 |
| Mixed Number Form | 4/7 |
| Decimal Form | 0.571429 |
| Percentage | 57.1429% |
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Frequently Asked Questions
What is 72/126 in simplest form?
72/126 simplified to lowest terms is 4/7.
What is the GCD (GCF) of 72 and 126?
The Greatest Common Divisor (GCD) of 72 and 126 is 18.
What are equivalent fractions to 72/126?
Equivalent fractions to 72/126 include 8/14, 12/21, and 16/28.