Simplify 1024/742 to Lowest Terms
1024/742 simplified to its lowest terms is 512/371 (or 1.380054 in decimal). See how to reduce 1024/742 using Greatest Common Divisor (GCD = 2).
Exact Answer
1024/742 = 512/371
Simplified Fraction
512/371
Mixed Number
1 141/371
Decimal Value
1.380054
Percentage
138.0054%
Step-by-Step Solution: 1024/742 = 512/371
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1024:
• Factors of 742:
• Factors of 1024:
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024• Factors of 742:
1, 2, 7, 14, 53, 106, 371, 742
GCD(1024, 742) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1024) and denominator (742) by 2.
1024 ÷ 2/742 ÷ 2 = 512/371
Step 3
Convert Improper Fraction to a Mixed Number
Because 512 is larger than 371, 512/371 can also be written as the mixed number 1 141/371.
512/371 = 1141/371
Visual Representation
The diagram below illustrates Simplify 1024/742 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 512/371 |
| Mixed Number Form | 1 141/371 |
| Decimal Form | 1.380054 |
| Percentage | 138.0054% |
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Frequently Asked Questions
What is 1024/742 in simplest form?
1024/742 simplified to lowest terms is 512/371.
What is the GCD (GCF) of 1024 and 742?
The Greatest Common Divisor (GCD) of 1024 and 742 is 2.
What are equivalent fractions to 1024/742?
Equivalent fractions to 1024/742 include 1024/742, 1536/1113, and 2048/1484.