Simplify 100/72 to Lowest Terms
100/72 simplified to its lowest terms is 25/18 (or 1.388889 in decimal). See how to reduce 100/72 using Greatest Common Divisor (GCD = 4).
Exact Answer
100/72 = 25/18
Simplified Fraction
25/18
Mixed Number
1 7/18
Decimal Value
1.388889
Percentage
138.8889%
Step-by-Step Solution: 100/72 = 25/18
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 100:
• Factors of 72:
• Factors of 100:
1, 2, 4, 5, 10, 20, 25, 50, 100• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
GCD(100, 72) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (100) and denominator (72) by 4.
100 ÷ 4/72 ÷ 4 = 25/18
Step 3
Convert Improper Fraction to a Mixed Number
Because 25 is larger than 18, 25/18 can also be written as the mixed number 1 7/18.
25/18 = 17/18
Visual Representation
The diagram below illustrates Simplify 100/72 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 25/18 |
| Mixed Number Form | 1 7/18 |
| Decimal Form | 1.388889 |
| Percentage | 138.8889% |
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Frequently Asked Questions
What is 100/72 in simplest form?
100/72 simplified to lowest terms is 25/18.
What is the GCD (GCF) of 100 and 72?
The Greatest Common Divisor (GCD) of 100 and 72 is 4.
What are equivalent fractions to 100/72?
Equivalent fractions to 100/72 include 50/36, 75/54, and 100/72.