Simplify 5488/4380 to Lowest Terms
5488/4380 simplified to its lowest terms is 1372/1095 (or 1.252968 in decimal). See how to reduce 5488/4380 using Greatest Common Divisor (GCD = 4).
Exact Answer
5488/4380 = 1372/1095
Simplified Fraction
1372/1095
Mixed Number
1 277/1095
Decimal Value
1.252968
Percentage
125.2968%
Step-by-Step Solution: 5488/4380 = 1372/1095
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 5488:
โข Factors of 4380:
โข Factors of 5488:
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686โข Factors of 4380:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292
GCD(5488, 4380) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (5488) and denominator (4380) by 4.
5488 รท 4/4380 รท 4 = 1372/1095
Step 3
Convert Improper Fraction to a Mixed Number
Because 1372 is larger than 1095, 1372/1095 can also be written as the mixed number 1 277/1095.
1372/1095 = 1277/1095
Visual Representation
The diagram below illustrates Simplify 5488/4380 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1372/1095 |
| Mixed Number Form | 1 277/1095 |
| Decimal Form | 1.252968 |
| Percentage | 125.2968% |
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Frequently Asked Questions
What is 5488/4380 in simplest form?
5488/4380 simplified to lowest terms is 1372/1095.
What is the GCD (GCF) of 5488 and 4380?
The Greatest Common Divisor (GCD) of 5488 and 4380 is 4.
What are equivalent fractions to 5488/4380?
Equivalent fractions to 5488/4380 include 2744/2190, 4116/3285, and 5488/4380.