Simplify 742/1092 to Lowest Terms
742/1092 simplified to its lowest terms is 53/78 (or 0.679487 in decimal). See how to reduce 742/1092 using Greatest Common Divisor (GCD = 14).
Exact Answer
742/1092 = 53/78
Simplified Fraction
53/78
Mixed Number
Proper (53/78)
Decimal Value
0.679487
Percentage
67.9487%
Step-by-Step Solution: 742/1092 = 53/78
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 742:
• Factors of 1092:
• Factors of 742:
1, 2, 7, 14, 53, 106, 371, 742• Factors of 1092:
1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78
GCD(742, 1092) = 14
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 14. Divide both the numerator (742) and denominator (1092) by 14.
742 ÷ 14/1092 ÷ 14 = 53/78
Visual Representation
The diagram below illustrates Simplify 742/1092 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 53/78 |
| Mixed Number Form | 53/78 |
| Decimal Form | 0.679487 |
| Percentage | 67.9487% |
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Frequently Asked Questions
What is 742/1092 in simplest form?
742/1092 simplified to lowest terms is 53/78.
What is the GCD (GCF) of 742 and 1092?
The Greatest Common Divisor (GCD) of 742 and 1092 is 14.
What are equivalent fractions to 742/1092?
Equivalent fractions to 742/1092 include 106/156, 159/234, and 212/312.