Simplify 48142/45480 to Lowest Terms
48142/45480 simplified to its lowest terms is 24071/22740 (or 1.058531 in decimal). See how to reduce 48142/45480 using Greatest Common Divisor (GCD = 2).
Exact Answer
48142/45480 = 24071/22740
Simplified Fraction
24071/22740
Mixed Number
1 1331/22740
Decimal Value
1.058531
Percentage
105.8531%
Step-by-Step Solution: 48142/45480 = 24071/22740
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 48142:
โข Factors of 45480:
โข Factors of 48142:
1, 2, 24071, 48142โข Factors of 45480:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(48142, 45480) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (48142) and denominator (45480) by 2.
48142 รท 2/45480 รท 2 = 24071/22740
Step 3
Convert Improper Fraction to a Mixed Number
Because 24071 is larger than 22740, 24071/22740 can also be written as the mixed number 1 1331/22740.
24071/22740 = 11331/22740
Visual Representation
The diagram below illustrates Simplify 48142/45480 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 24071/22740 |
| Mixed Number Form | 1 1331/22740 |
| Decimal Form | 1.058531 |
| Percentage | 105.8531% |
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Frequently Asked Questions
What is 48142/45480 in simplest form?
48142/45480 simplified to lowest terms is 24071/22740.
What is the GCD (GCF) of 48142 and 45480?
The Greatest Common Divisor (GCD) of 48142 and 45480 is 2.
What are equivalent fractions to 48142/45480?
Equivalent fractions to 48142/45480 include 48142/45480, 72213/68220, and 96284/90960.