Simplify 5488/4382 to Lowest Terms
5488/4382 simplified to its lowest terms is 392/313 (or 1.252396 in decimal). See how to reduce 5488/4382 using Greatest Common Divisor (GCD = 14).
Exact Answer
5488/4382 = 392/313
Simplified Fraction
392/313
Mixed Number
1 79/313
Decimal Value
1.252396
Percentage
125.2396%
Step-by-Step Solution: 5488/4382 = 392/313
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 5488:
• Factors of 4382:
• Factors of 5488:
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686• Factors of 4382:
1, 2, 7, 14, 313, 626, 2191, 4382
GCD(5488, 4382) = 14
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 14. Divide both the numerator (5488) and denominator (4382) by 14.
5488 ÷ 14/4382 ÷ 14 = 392/313
Step 3
Convert Improper Fraction to a Mixed Number
Because 392 is larger than 313, 392/313 can also be written as the mixed number 1 79/313.
392/313 = 179/313
Visual Representation
The diagram below illustrates Simplify 5488/4382 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 392/313 |
| Mixed Number Form | 1 79/313 |
| Decimal Form | 1.252396 |
| Percentage | 125.2396% |
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Frequently Asked Questions
What is 5488/4382 in simplest form?
5488/4382 simplified to lowest terms is 392/313.
What is the GCD (GCF) of 5488 and 4382?
The Greatest Common Divisor (GCD) of 5488 and 4382 is 14.
What are equivalent fractions to 5488/4382?
Equivalent fractions to 5488/4382 include 784/626, 1176/939, and 1568/1252.