Simplify 54/72 to Lowest Terms
54/72 simplified to its lowest terms is 3/4 (or 0.75 in decimal). See how to reduce 54/72 using Greatest Common Divisor (GCD = 18).
Exact Answer
54/72 = 3/4
Simplified Fraction
3/4
Mixed Number
Proper (3/4)
Decimal Value
0.75
Percentage
75%
Step-by-Step Solution: 54/72 = 3/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 54:
• Factors of 72:
• Factors of 54:
1, 2, 3, 6, 9, 18, 27, 54• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
GCD(54, 72) = 18
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 18. Divide both the numerator (54) and denominator (72) by 18.
54 ÷ 18/72 ÷ 18 = 3/4
Visual Representation
The diagram below illustrates Simplify 54/72 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/4 |
| Mixed Number Form | 3/4 |
| Decimal Form | 0.75 |
| Percentage | 75% |
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Frequently Asked Questions
What is 54/72 in simplest form?
54/72 simplified to lowest terms is 3/4.
What is the GCD (GCF) of 54 and 72?
The Greatest Common Divisor (GCD) of 54 and 72 is 18.
What are equivalent fractions to 54/72?
Equivalent fractions to 54/72 include 6/8, 9/12, and 12/16.