Simplify 748/1538 to Lowest Terms
748/1538 simplified to its lowest terms is 374/769 (or 0.486346 in decimal). See how to reduce 748/1538 using Greatest Common Divisor (GCD = 2).
Exact Answer
748/1538 = 374/769
Simplified Fraction
374/769
Mixed Number
Proper (374/769)
Decimal Value
0.486346
Percentage
48.6346%
Step-by-Step Solution: 748/1538 = 374/769
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 748:
• Factors of 1538:
• Factors of 748:
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748• Factors of 1538:
1, 2, 769, 1538
GCD(748, 1538) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (748) and denominator (1538) by 2.
748 ÷ 2/1538 ÷ 2 = 374/769
Visual Representation
The diagram below illustrates Simplify 748/1538 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 374/769 |
| Mixed Number Form | 374/769 |
| Decimal Form | 0.486346 |
| Percentage | 48.6346% |
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Frequently Asked Questions
What is 748/1538 in simplest form?
748/1538 simplified to lowest terms is 374/769.
What is the GCD (GCF) of 748 and 1538?
The Greatest Common Divisor (GCD) of 748 and 1538 is 2.
What are equivalent fractions to 748/1538?
Equivalent fractions to 748/1538 include 748/1538, 1122/2307, and 1496/3076.