Simplify 748/1760 to Lowest Terms
748/1760 simplified to its lowest terms is 17/40 (or 0.425 in decimal). See how to reduce 748/1760 using Greatest Common Divisor (GCD = 44).
Exact Answer
748/1760 = 17/40
Simplified Fraction
17/40
Mixed Number
Proper (17/40)
Decimal Value
0.425
Percentage
42.5%
Step-by-Step Solution: 748/1760 = 17/40
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 748:
• Factors of 1760:
• Factors of 748:
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748• Factors of 1760:
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88
GCD(748, 1760) = 44
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 44. Divide both the numerator (748) and denominator (1760) by 44.
748 ÷ 44/1760 ÷ 44 = 17/40
Visual Representation
The diagram below illustrates Simplify 748/1760 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 17/40 |
| Mixed Number Form | 17/40 |
| Decimal Form | 0.425 |
| Percentage | 42.5% |
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Frequently Asked Questions
What is 748/1760 in simplest form?
748/1760 simplified to lowest terms is 17/40.
What is the GCD (GCF) of 748 and 1760?
The Greatest Common Divisor (GCD) of 748 and 1760 is 44.
What are equivalent fractions to 748/1760?
Equivalent fractions to 748/1760 include 34/80, 51/120, and 68/160.